CHAPTER 5 : THE STRAIGHT LINE

Size: px
Start display at page:

Download "CHAPTER 5 : THE STRAIGHT LINE"

Transcription

1 EXERCISE 1 CHAPTER 5 : THE STRAIGHT LINE 1. In the diagram, PQ is a straight line. P Find (a) the -intercept, (b) the gradient, of the straight line. Q (5,18) Q Answer :a).. b) 3 P 0 Find a) the gradient of PQ b) the equation of straight line PQ Answer :a) b) 3. Determine the gradient of the straight line = F Answer : E(-2,6) 0 G 5. The Determine diagram shows the -intercept two straight of the lines, straight EF and line FG, 2 on a = Cartesian - plane. The gradient of EF is 1 and the distance of FG is 10 units. The -intercept of FG is 38 Answer :.

2 6. The gradient of the straight line = 13 Answer : The - intercept of the straight line 4 2 = 12 is 8. In the diagram, AB is a straight line. Answer : A B What is the gradient of AB? 9. In the diagram, R = S. The equation of RS is Answer :.. S R In the diagram, MLT is a right-angled triangle.. L(6,7) Answer: M T(6,4) 0 Find a) the coordinate of M, b) the equation of the straight line LT. Answer :.a)... b). 39

3 EXERCISE 2 CHAPTER 5 : THE STRAIGHT LINE 1. P Q (3,5) R The diagram shows a parallelogram PQR. Given that the gradient of P = The -intercept of line QR is... Answer : 2. Q(0,5) R(12,3) P 0 S(4,k) In the diagram, PQRS is a parallelogram. The equation of the straight line RS is 2 = 6. Find a) the value of k, b) the gradient of the straight line QR, Answer: a) b). 40

4 3. In the diagram, PQR is a parallelogram and is the origin. Find a) the gradient of the straight line R, b) the equation of the straight line PQ Q R(2,4) P(6,1) 0 Answer: a) b). 4. In the diagram PQRS is a parallelogram P(-2,12) Q S 0 a) Given that the gradient of line PQ is -3, find the equation of PQ b) Find the coordinate of point R. R Answer a)... b)... 41

5 5. In the diagram, LH is a straight line. Given that the gradient of the straight line LH is -1. L(-3,9) H(0,k) Find (a) the value of k, (b) the equation of the stragiht line LH. 0 Answer: a) b). 6. In the diagram above, ABCD is a parallelogram and is the origin. The straight line BD is parallel with the -ais and the equation of line AB is = B(6,10) A C Find (a) the -intercept of the straight line AB, (b) the gradient of AD, 0 D Answer: a) b) 42

6 Q(4,8) S(10,2) 0 P(2,0) R 7. In the diagram, PQ is parallel to RS and is the origin. Find a) the gradient of RS b) the - intercept of RS Answer: a) b) 8. In the diagram M = 3 1 A and the length of the straight line A is 9 units. A B 0 M (a) Find the coordinate of point B. (b) Calculate the gradient of line MB. Answer a)... b)... 43

7 9. In the diagram, CD is parallel to EF. D = 3+5 F 0 C Find (a) the -intercept of line CD, (b) the equation of straight line EF. E(-1,-4) Answer: a) b) 10. In the diagram, EFGH is a parallelogram. Given that the gradient of line EF is 2 5. Find the coordinate of point G. E H(8,5). F 0 G Answer: 44

8 DIAGNSTIC TEST CHAPTER 5 : THE STRAIGHT LINE 1. In Diagram 1, MN is a straight line. M N Diagram 1 Find the gradient of MN. A -2 3 B 4 3 C - 4 D 2 2. Given that the equation of a straight line is = 0. Find the -intercept of the straight line. A -1 B -2 C -3 D In Diagram 2, the length of C is 2 units. B A(10,6) C Diagram 2 The gradient of line BC is A 3 B 4 C -4 45

9 D -3 P(8,2) R(-2,-8) Diagram 3 4. Based on Diagram 3, find the equation of line PR. A = - 6 B = C = + 6 D = 6 5. In Diagram 4, the equation of the line WZ is = 4 3. Q (8, k) is a point on the line WZ. W Q (8, k) Diagram 4 Z 0 Find the value of k. A 6 B 7 C 8 D 9 6. The equation of a straight line passing through the point ( -3, 8 ) and parallel to the line = is A = B 3 = C 3 = D =

10 E Diagram 5 0 G 7. In Diagram 5, E = G. Find the gradient of line EG. A 1 B -1 C 2 D -2 U(-3,6) Diagram In Diagram 6, find the gradient of the line U. A 1 B -1 C 2 D The -intercept of the straight line 4 = 3 2 is 3 A 4 1 B - 2 C D

11 R J ( 4, 8 ) Diagram 7 0 P 10. In Diagram 7, the length of P is 10 units. The equation of line PR is 4 A = B = C = D =

12 CHAPTER 5 : THE STRAIGHT LINE EXERCISE 1 1. R(5,7) Q(1,4) P(-1,0) S Diagram 1 In Diagram 1, straight lines PQ and RS are parallel. Find the a) gradient of the line PQ, b) equation of the line RS, c) -intercept of the line RS. 2.. N K M(5,0) L Diagram 2 In Diagram 2, straight lines KL and MN are parallel. The equation of the line KL is = 0. Find the a) gradient of the line KL, b) equation of the line MN, c) -intercept of the line MN. 49

13 3. F(3,k) G(7,10) E H Diagram 3 In Diagram 3, straight line FG is parallel to the -ais while the lines EF and GH are parallel. The gradient of the line EF is 2. a) State the value of k, b) Find the equation of the line GH, c) Find the coordinates of the point E. 4. M (5,20) L K Diagram 4 In Diagram 4, KLM is a parallelogram and line ML is parallel to the -ais.point L is on the -ais. a) State the coordinates of the point L, b) Find the -intercept of the line KL, c) Find the equation of the line KL. 50

14 5. V(8, k) U T(-2,1) S W Diagram 5 In Diagram 5, the equation of the straight line STUV is 2 = + 4. The lines T and UW are parallel. Find the a) value of k, b) -intercept of the line STUV, c) equation of the line UW. 51

15 EXERCISE 2 1. CHAPTER 5 : THE STRAIGHT LINE B(-3,10) C A Diagram 1 The equation of the straight line AB in Diagram 1 is = a) State the equation of the straight line BC, b) Find the -intercept of the straight line AB, c) Find the equation of AC. U Y Z (6,5) C (-2,3) V D (8,-2) 2. Diagram 2 In Diagram 2, the straight line UV is parallel to CD. is the origin. a) Calculate the gradient of line CD, b) Find the equation of line UZV, c) Find - intercept of line UZV. 52

16 3. Q (h, 3 ) R P( -8, 0 ) 0 S ( 6, 0 ) Diagram 3 In Diagram 3, the gradient of the straight line PQR is 3.Find the a) value of h b) -intercept of the line RS c) equation of the line RS 4. B (2, 8 ) C A (2, 3 ) 0 Diagram 4 In Diagram 4, ABC is a parallelogram. Find the a) coordinates of C b) equation of the straight line BC 53

17 5. Y Q S 12 P -4 3 X R Diagram 5 In Diagram 5, straight lines PQ and RS are parallel. a) State the gradient of PQ b) Find the equation of RS c) Find the intercept of RS 54

18 CHAPTER 5 : THE STRAIGHT LINE DIAGNSTIC TEST 1. A B (6, 5) D C (6, 0) Diagram 1 In Diagram 1, A and D are located on the -ais and ABCD is a parallelogram. If the gradient of AB = - 2 1, a) State the gradient of CD. b) Determine the coordinates of D. c) Find the equation of the straight line AB. [ 5 marks ] 2. P (0, 9) Q (5, 7) R (0, -5) Diagram 2 Diagram 2 shows a triangle PQR. a) State the -intercept of the straight line PQ, b) Find the equation of the straight line QR, c) Find the equation of a straight line that passes through P and parallel to the straight line QR. [ 5 marks ] 55

19 3. M P Diagram 3 N In Diagram 3, MN = 12 units and parallel to the -ais. Given N = 6 units and P = 3 2 MN, 4. a) State the coordinates of P, b) Find the gradient of the straight line PM, c) Find the equation of the straight line PM. A D = 2 + k [ 5 marks ] C E B Diagram 4 In Diagram 4, two straight lines AB and CD intersect at point (-1, 3). Given the gradient of AB is -1, find the a) value of k, b) equation of the straight line AB, c) coordinates of point E. [ 5 marks] 56

20 5. P (-3, 6) Q (h, k) M (4, 3) Diagram 5 R In Diagram 5, Q and PR intersect at M which is midpoint of Q. Given is the origin. Find a) the value of h and k, b) the equation of the straight line PR. [ 5 marks] 57

b UVW is a right-angled triangle, therefore VW is the diameter of the circle. Centre of circle = Midpoint of VW = (8 2) + ( 2 6) = 100

b UVW is a right-angled triangle, therefore VW is the diameter of the circle. Centre of circle = Midpoint of VW = (8 2) + ( 2 6) = 100 Circles 6F a U(, 8), V(7, 7) and W(, ) UV = ( x x ) ( y y ) = (7 ) (7 8) = 8 VW = ( 7) ( 7) = 64 UW = ( ) ( 8) = 8 Use Pythagoras' theorem to show UV UW = VW 8 8 = 64 = VW Therefore, UVW is a right-angled

More information

ANALYTICAL GEOMETRY Revision of Grade 10 Analytical Geometry

ANALYTICAL GEOMETRY Revision of Grade 10 Analytical Geometry ANALYTICAL GEOMETRY Revision of Grade 10 Analtical Geometr Let s quickl have a look at the analtical geometr ou learnt in Grade 10. 8 LESSON Midpoint formula (_ + 1 ;_ + 1 The midpoint formula is used

More information

(b) the equation of the perpendicular bisector of AB. [3]

(b) the equation of the perpendicular bisector of AB. [3] HORIZON EDUCATION SINGAPORE Additional Mathematics Practice Questions: Coordinate Geometr 1 Set 1 1 In the figure, ABCD is a rhombus with coordinates A(2, 9) and C(8, 1). The diagonals AC and BD cut at

More information

Downloaded from

Downloaded from Triangles 1.In ABC right angled at C, AD is median. Then AB 2 = AC 2 - AD 2 AD 2 - AC 2 3AC 2-4AD 2 (D) 4AD 2-3AC 2 2.Which of the following statement is true? Any two right triangles are similar

More information

Chapter 10 Exercise 10.1

Chapter 10 Exercise 10.1 Chapter 0 Exercise 0. Q.. A(, ), B(,), C(, ), D(, ), E(0,), F(,), G(,0), H(, ) Q.. (i) nd (vi) st (ii) th (iii) nd (iv) rd (v) st (vii) th (viii) rd (ix) st (viii) rd Q.. (i) Y (v) X (ii) Y (vi) X (iii)

More information

Preface. Enhanced Learning

Preface. Enhanced Learning Preface This book is just what you are looking for Secondary 2 Mathematics made easy and comprehensible so you need not struggle to make sense of all the new and unfamiliar concepts. Specially written

More information

MEP Pupil Text 13-19, Additional Material. Gradients of Perpendicular Lines

MEP Pupil Text 13-19, Additional Material. Gradients of Perpendicular Lines Graphs MEP Pupil Text -9, Additional Material.B Gradients of Perpendicular Lines In this section we explore the relationship between the gradients of perpendicular lines and line segments. Worked Example

More information

Vectors Practice [296 marks]

Vectors Practice [296 marks] Vectors Practice [96 marks] The diagram shows quadrilateral ABCD with vertices A(, ), B(, 5), C(5, ) and D(4, ) a 4 Show that AC = ( ) Find BD (iii) Show that AC is perpendicular to BD The line (AC) has

More information

Skills Practice Skills Practice for Lesson 9.1

Skills Practice Skills Practice for Lesson 9.1 Skills Practice Skills Practice for Lesson.1 Name Date Meeting Friends The Distance Formula Vocabular Define the term in our own words. 1. Distance Formula Problem Set Archaeologists map the location of

More information

Part (1) Second : Trigonometry. Tan

Part (1) Second : Trigonometry. Tan Part (1) Second : Trigonometry (1) Complete the following table : The angle Ratio 42 12 \ Sin 0.3214 Cas 0.5321 Tan 2.0625 (2) Complete the following : 1) 46 36 \ 24 \\ =. In degrees. 2) 44.125 = in degrees,

More information

CSSTP. Given CSSTP. Statements Reasons. Given CSSTP. Mult. Prop. = Div. Prop. = Sym. Prop. = or 1 Mult. Prop. = Div. Prop. =

CSSTP. Given CSSTP. Statements Reasons. Given CSSTP. Mult. Prop. = Div. Prop. = Sym. Prop. = or 1 Mult. Prop. = Div. Prop. = : If the triangles are similar (~), then all of the sides must be congruent proportional (create equal scale fractions). Example: A~ F Before you start your proof, it is important to plan! Setup the three

More information

1-2 Measuring and Constructing Segments

1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Warm Up Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint

More information

1 k. cos tan? Higher Maths Non Calculator Practice Practice Paper A. 1. A sequence is defined by the recurrence relation u 2u 1, u 3.

1 k. cos tan? Higher Maths Non Calculator Practice Practice Paper A. 1. A sequence is defined by the recurrence relation u 2u 1, u 3. Higher Maths Non Calculator Practice Practice Paper A. A sequence is defined b the recurrence relation u u, u. n n What is the value of u?. The line with equation k 9 is parallel to the line with gradient

More information

NAME: Date: HOMEWORK: C1. Question Obtained. Total/100 A 80 B 70 C 60 D 50 E 40 U 39

NAME: Date: HOMEWORK: C1. Question Obtained. Total/100 A 80 B 70 C 60 D 50 E 40 U 39 NAME: Date: HOMEWORK: C1 Question Obtained 1 2 3 4 5 6 7 8 9 10 Total/100 A 80 B 70 C 60 D 50 E 40 U 39 1. Figure 2 y A(1, 7) B(20, 7) D(8, 2) O x C(p, q) The points A(1, 7), B(20, 7) and C(p, q) form

More information

Circles, Mixed Exercise 6

Circles, Mixed Exercise 6 Circles, Mixed Exercise 6 a QR is the diameter of the circle so the centre, C, is the midpoint of QR ( 5) 0 Midpoint = +, + = (, 6) C(, 6) b Radius = of diameter = of QR = of ( x x ) + ( y y ) = of ( 5

More information

Midterm Study Guide Assessment. Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. 11/30/2018 Print Assignment

Midterm Study Guide Assessment. Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. 11/30/2018 Print Assignment Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. https://my.hrw.com/wwtb2/viewer/printall_vs5.html?sf2tt3dnj49xcldd29v4qfjhw0nq0ker6b1uuwkuupca0a5fsymn1tdn7y3prlf19pv779ludnoev4cldd29v4

More information

chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?

chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true? chapter vector geometry solutions V. Exercise A. For the shape shown, find a single vector which is equal to a)!!! " AB + BC AC b)! AD!!! " + DB AB c)! AC + CD AD d)! BC + CD!!! " + DA BA e) CD!!! " "

More information

6. COORDINATE GEOMETRY

6. COORDINATE GEOMETRY 6. CRDINATE GEMETRY Unit 6. : To Find the distance between two points A(, ) and B(, ) : AB = Eg. Given two points A(,3) and B(4,7) ( ) ( ). [BACK T BASICS] E. P(4,5) and Q(3,) Distance of AB = (4 ) (7

More information

CfE Higher Mathematics Course Materials Topic 2: Vectors

CfE Higher Mathematics Course Materials Topic 2: Vectors SCHOLAR Study Guide CfE Higher Mathematics Course Materials Topic : Vectors Authored by: Margaret Ferguson Reviewed by: Jillian Hornby Previously authored by: Jane S Paterson Dorothy A Watson Heriot-Watt

More information

VECTORS Contents Page 7.0 Conceptual Map Introduction to Vector Practice Multiplication of Vector y Scalar Practice Practice 7.2

VECTORS Contents Page 7.0 Conceptual Map Introduction to Vector Practice Multiplication of Vector y Scalar Practice Practice 7.2 DDITIONL MTHEMTICS FORM 5 MODULE 7 VECTORS VECTORS Contents Page 7.0 Conceptual Map 2 7.1 Introduction to Vector Practice 7.1 3 7.2 Multiplication of Vector y Scalar Practice 7.2.1 Practice 7.2.2 4 5 7.3

More information

y hsn.uk.net Straight Line Paper 1 Section A Each correct answer in this section is worth two marks.

y hsn.uk.net Straight Line Paper 1 Section A Each correct answer in this section is worth two marks. Straight Line Paper 1 Section Each correct answer in this section is worth two marks. 1. The line with equation = a + 4 is perpendicular to the line with equation 3 + + 1 = 0. What is the value of a?.

More information

9.2. Length of Line Segments. Lesson Objectives. Find the lengths of line segments on the x-axis and y-axis.

9.2. Length of Line Segments. Lesson Objectives. Find the lengths of line segments on the x-axis and y-axis. 9.2 Length of Line Segments Lesson Objectives Find lengths of horizontal and vertical line segments on the coordinate plane. Solve real-world problems involving coordinates and a coordinate plane. Learn

More information

"Full Coverage": Vectors

Full Coverage: Vectors "Full Coverage": Vectors This worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic. This worksheet was automatically generated by the DrFrostMaths

More information

Year 11 Math Homework

Year 11 Math Homework Yimin Math Centre Year 11 Math Homework Student Name: Grade: Date: Score: Table of contents 8 Year 11 Topic 8 Trigonometry Part 5 1 8.1 The Sine Rule and the Area Formula........................... 1 8.1.1

More information

Algebraic Expressions

Algebraic Expressions Algebraic Expressions 1. Expressions are formed from variables and constants. 2. Terms are added to form expressions. Terms themselves are formed as product of factors. 3. Expressions that contain exactly

More information

MT - GEOMETRY - SEMI PRELIM - I : PAPER - 2

MT - GEOMETRY - SEMI PRELIM - I : PAPER - 2 07 00 MT MT - GEOMETRY - SEMI PRELIM - I : PAPER - Time : Hours Model Answer Paper Ma. Marks : 40 A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 4 intercept of the line (c) 3 B slope

More information

1 What is the solution of the system of equations graphed below? y = 2x + 1

1 What is the solution of the system of equations graphed below? y = 2x + 1 1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x

More information

Applications. 12 The Shapes of Algebra. 1. a. Write an equation that relates the coordinates x and y for points on the circle.

Applications. 12 The Shapes of Algebra. 1. a. Write an equation that relates the coordinates x and y for points on the circle. Applications 1. a. Write an equation that relates the coordinates and for points on the circle. 1 8 (, ) 1 8 O 8 1 8 1 (13, 0) b. Find the missing coordinates for each of these points on the circle. If

More information

(Chapter 10) (Practical Geometry) (Class VII) Question 1: Exercise 10.1 Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only. Answer 1: To

More information

Mathematics. Exercise 6.4. (Chapter 6) (Triangles) (Class X) Question 1: Let and their areas be, respectively, 64 cm 2 and 121 cm 2.

Mathematics. Exercise 6.4. (Chapter 6) (Triangles) (Class X) Question 1: Let and their areas be, respectively, 64 cm 2 and 121 cm 2. () Exercise 6.4 Question 1: Let and their areas be, respectively, 64 cm 2 and 121 cm 2. If EF = 15.4 cm, find BC. Answer 1: 1 () Question 2: Diagonals of a trapezium ABCD with AB DC intersect each other

More information

Honors Geometry Mid-Term Exam Review

Honors Geometry Mid-Term Exam Review Class: Date: Honors Geometry Mid-Term Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The

More information

TRIANGLE EXERCISE 6.4

TRIANGLE EXERCISE 6.4 TRIANGLE EXERCISE 6.4. Let Δ ABC ~ Δ DEF and their areas be, respectively, 64 cm2 and 2 cm2. If EF =5.4 cm, find BC. Ans; According to question ABC~ DEF ar( DEF) = AB2 DE 2 = BC2 EF 2 = AC2 DF 2 64cm 2

More information

Chapter 1 Coordinates, points and lines

Chapter 1 Coordinates, points and lines Cambridge Universit Press 978--36-6000-7 Cambridge International AS and A Level Mathematics: Pure Mathematics Coursebook Hugh Neill, Douglas Quadling, Julian Gilbe Ecerpt Chapter Coordinates, points and

More information

Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E.

Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E. April 9, 01 Standards: MM1Ga, MM1G1b Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? (1,10) B. (,7) C. (,) (,) (,1). Points P, Q, R, and S lie on a line

More information

8. Quadrilaterals. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.

8. Quadrilaterals. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ. 8. Quadrilaterals Q 1 Name a quadrilateral whose each pair of opposite sides is equal. Mark (1) Q 2 What is the sum of two consecutive angles in a parallelogram? Mark (1) Q 3 The angles of quadrilateral

More information

COORDINATE GEOMETRY BASIC CONCEPTS AND FORMULAE. To find the length of a line segment joining two points A(x 1, y 1 ) and B(x 2, y 2 ), use

COORDINATE GEOMETRY BASIC CONCEPTS AND FORMULAE. To find the length of a line segment joining two points A(x 1, y 1 ) and B(x 2, y 2 ), use COORDINATE GEOMETRY BASIC CONCEPTS AND FORMULAE I. Length of a Line Segment: The distance between two points A ( x1, 1 ) B ( x, ) is given b A B = ( x x1) ( 1) To find the length of a line segment joining

More information

Created by T. Madas 2D VECTORS. Created by T. Madas

Created by T. Madas 2D VECTORS. Created by T. Madas 2D VECTORS Question 1 (**) Relative to a fixed origin O, the point A has coordinates ( 2, 3). The point B is such so that AB = 3i 7j, where i and j are mutually perpendicular unit vectors lying on the

More information

Geometry Essentials ( ) Midterm Review. Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight.

Geometry Essentials ( ) Midterm Review. Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight. Geometry Essentials (2015-2016) Midterm Review Name: Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight. 2. is a linear pair with what other angle? 3. Name

More information

Conditional Statement: Statements in if-then form are called.

Conditional Statement: Statements in if-then form are called. Monday 9/21 2.2 and 2.4 Wednesday 9/23 2.5 and 2.6 Conditional and Algebraic Proofs Algebraic Properties and Geometric Proofs Unit 2 Angles and Proofs Packet pages 1-3 Textbook Pg 85 (14, 17, 20, 25, 27,

More information

5-1 Perpendicular and Angle Bisectors

5-1 Perpendicular and Angle Bisectors 5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and

More information

Visit: ImperialStudy.com For More Study Materials Class IX Chapter 12 Heron s Formula Maths

Visit: ImperialStudy.com For More Study Materials Class IX Chapter 12 Heron s Formula Maths Exercise 1.1 1. Find the area of a triangle whose sides are respectively 150 cm, 10 cm and 00 cm. The triangle whose sides are a = 150 cm b = 10 cm c = 00 cm The area of a triangle = s(s a)(s b)(s c) Here

More information

JUST IN TIME MATERIAL GRADE 11 KZN DEPARTMENT OF EDUCATION CURRICULUM GRADES DIRECTORATE TERM

JUST IN TIME MATERIAL GRADE 11 KZN DEPARTMENT OF EDUCATION CURRICULUM GRADES DIRECTORATE TERM JUST IN TIME MATERIAL GRADE 11 KZN DEPARTMENT OF EDUCATION CURRICULUM GRADES 10 1 DIRECTORATE TERM 1 017 This document has been compiled by the FET Mathematics Subject Advisors together with Lead Teachers.

More information

Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths

Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths Topic 2 [312 marks] 1 The rectangle ABCD is inscribed in a circle Sides [AD] and [AB] have lengths [12 marks] 3 cm and (\9\) cm respectively E is a point on side [AB] such that AE is 3 cm Side [DE] is

More information

Chapter 3 Summary 3.1. Determining the Perimeter and Area of Rectangles and Squares on the Coordinate Plane. Example

Chapter 3 Summary 3.1. Determining the Perimeter and Area of Rectangles and Squares on the Coordinate Plane. Example Chapter Summar Ke Terms bases of a trapezoid (.) legs of a trapezoid (.) composite figure (.5).1 Determining the Perimeter and Area of Rectangles and Squares on the Coordinate Plane The perimeter or area

More information

1. Number a. Using a calculator or otherwise 1 3 1 5 i. 3 1 4 18 5 ii. 0.1014 5.47 1.5 5.47 0.6 5.1 b. Bus tour tickets . Algebra a. Write as a single fraction 3 4 11 3 4 1 b. 1 5 c. Factorize completely

More information

Grade 9 Quadrilaterals

Grade 9 Quadrilaterals ID : ww-9-quadrilaterals [1] Grade 9 Quadrilaterals For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a rectangle and point P is such that PB = 3 2 cm, PC = 4 cm and PD

More information

Chapter 20 Exercise 20.1

Chapter 20 Exercise 20.1 Chapter Eercise. Q.. (i B = (, A = (, (ii C (, + = (, (iii AC ( + ( ( + ( 9 + CB ( + + ( ( + ( 9 + AC = CB (iv Slope of AB = = = = ( = ( = + + = (v AB cuts the -ais at =. + = = = AB cuts the -ais at (,.

More information

Year 9 Term 3 Homework

Year 9 Term 3 Homework Yimin Math Centre Year 9 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 5 Year 9 Term 3 Week 5 Homework 1 5.1 Geometry (Review)................................... 1 5.1.1 Angle sum

More information

b) What is the area of the shaded region? Geometry 1 Assignment - Solutions

b) What is the area of the shaded region? Geometry 1 Assignment - Solutions Geometry 1 Assignment - Solutions 1. ABCD is a square formed by joining the mid points of the square PQRS. LKXS and IZXY are the squares formed inside the right angled triangles DSC and KXC respectively.

More information

Similarity. Question Paper 2. Save My Exams! The Home of Revision. Shape, Space and Measures. Booklet Question Paper minutes.

Similarity. Question Paper 2. Save My Exams! The Home of Revision. Shape, Space and Measures. Booklet Question Paper minutes. Similarity Question Paper 2 Level IGCSE Subject Maths Exam Board Edexcel Topic Shape, Space and Measures Sub Topic Similarity Booklet Question Paper 2 Time Allowed: 57 minutes Score: /47 Percentage: /100

More information

Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''?

Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''? Unit 2 Review 1. Parallelogram FGHJ was translated 3 units down to form parallelogram F 'G'H'J '. Parallelogram F 'G'H'J ' was then rotated 90 counterclockwise about point G' to obtain parallelogram F

More information

VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)

VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ

More information

1-2 Measuring and Constructing Segments

1-2 Measuring and Constructing Segments Warm Up Simplify. 1. 7 ( 3) 10 2. 1 ( 13) 12 3. 7 1 8 Solve each equation. 4. 2x + 3 = 9x 11 5. 3x = 4x 5 2 5 6. How many numbers are there between and? Infinitely many Standard U1S2 Use length and midpoint

More information

G.GPE.B.4: Quadrilaterals in the Coordinate Plane 2

G.GPE.B.4: Quadrilaterals in the Coordinate Plane 2 Regents Exam Questions www.jmap.org Name: 1 In square GEOM, the coordinates of G are (2, 2) and the coordinates of O are ( 4,2). Determine and state the coordinates of vertices E and M. [The use of the

More information

1. In a triangle ABC altitude from C to AB is CF= 8 units and AB has length 6 units. If M and P are midpoints of AF and BC. Find the length of PM.

1. In a triangle ABC altitude from C to AB is CF= 8 units and AB has length 6 units. If M and P are midpoints of AF and BC. Find the length of PM. 1. In a triangle ABC altitude from C to AB is CF= 8 units and AB has length 6 units. If M and P are midpoints of AF and BC. Find the length of PM. 2. Let ABCD be a cyclic quadrilateral inscribed in a circle

More information

Geometry Honors: Midterm Exam Review January 2018

Geometry Honors: Midterm Exam Review January 2018 Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize

More information

Shape Booster 6 Similar Shapes

Shape Booster 6 Similar Shapes Shape Booster 6 Similar Shapes Check: 85T) The two triangles are similar. 5cm y x 37.8cm 8cm 43.2cm a) Work out the size of x. b) Work out the size of y. a) x = 27cm b) y = 7cm Learn: Maths Watch Reference

More information

Math : Analytic Geometry

Math : Analytic Geometry 7 EP-Program - Strisuksa School - Roi-et Math : Analytic Geometry Dr.Wattana Toutip - Department of Mathematics Khon Kaen University 00 :Wattana Toutip wattou@kku.ac.th http://home.kku.ac.th/wattou 7 Analytic

More information

SECTION A(1) k k 1= = or (rejected) k 1. Suggested Solutions Marks Remarks. 1. x + 1 is the longest side of the triangle. 1M + 1A

SECTION A(1) k k 1= = or (rejected) k 1. Suggested Solutions Marks Remarks. 1. x + 1 is the longest side of the triangle. 1M + 1A SECTION A(). x + is the longest side of the triangle. ( x + ) = x + ( x 7) (Pyth. theroem) x x + x + = x 6x + 8 ( x )( x ) + x x + 9 x = (rejected) or x = +. AP and PB are in the golden ratio and AP >

More information

Thursday 11 June 2015 Afternoon

Thursday 11 June 2015 Afternoon Oxford Cambridge and RSA H Thursday 11 June 2015 Afternoon GCSE METHODS IN MATHEMATICS B392/02 Methods in Mathematics 2 (Higher Tier) *4856252055* Candidates answer on the Question Paper. OCR supplied

More information

St Andrew s Academy Mathematics Department Higher Mathematics VECTORS

St Andrew s Academy Mathematics Department Higher Mathematics VECTORS St Andrew s Academy Mathematics Department Higher Mathematics VECTORS hsn.uk.net Higher Mathematics Vectors Contents Vectors 1 1 Vectors and Scalars EF 1 Components EF 1 Magnitude EF 4 Equal Vectors EF

More information

Test Corrections for Unit 1 Test

Test Corrections for Unit 1 Test MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to properly do test corrections. Ask for clarification from your teacher if there are parts that you are

More information

Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.

Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Centre No. Candidate No. Paper Reference 1 3 8 0 3 H Paper Reference(s) 1380/3H Edexcel GCSE Mathematics (Linear) 1380 Paper 3 (Non-Calculator) Vectors Past Paper Questions Arranged by Topic Surname Signature

More information

Q.2 A, B and C are points in the xy plane such that A(1, 2) ; B (5, 6) and AC = 3BC. Then. (C) 1 1 or

Q.2 A, B and C are points in the xy plane such that A(1, 2) ; B (5, 6) and AC = 3BC. Then. (C) 1 1 or STRAIGHT LINE [STRAIGHT OBJECTIVE TYPE] Q. A variable rectangle PQRS has its sides parallel to fied directions. Q and S lie respectivel on the lines = a, = a and P lies on the ais. Then the locus of R

More information

LESSON 2 5 CHAPTER 2 OBJECTIVES

LESSON 2 5 CHAPTER 2 OBJECTIVES LESSON 2 5 CHAPTER 2 OBJECTIVES POSTULATE a statement that describes a fundamental relationship between the basic terms of geometry. THEOREM a statement that can be proved true. PROOF a logical argument

More information

CBSE Sample Paper-03 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90

CBSE Sample Paper-03 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90 CBSE Sample Paper-3 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed: 3 hours Maximum Marks: 9 General Instructions: a) All questions are compulsory. b) The question paper consists

More information

VIII - Geometric Vectors

VIII - Geometric Vectors MTHEMTIS 0-NY-05 Vectors and Matrices Martin Huard Fall 07 VIII - Geometric Vectors. Find all ectors in the following parallelepiped that are equialent to the gien ectors. E F H G a) b) c) d) E e) f) F

More information

Day 31 Bellringer. (a) 2 and 7. (b) 3 and 7. (c) 3 and 6. Page 1

Day 31 Bellringer. (a) 2 and 7. (b) 3 and 7. (c) 3 and 6. Page 1 Day 31 Bellringer 1. In the figure below lines PQ and RS are parallel. State whether the following angles are corresponding, alternate interior or alternate exterior angles. P R 1 2 3 4 5 6 7 8 Q S (a)

More information

1-2 Measuring and Constructing Segments

1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Lesson Presentation Lesson Quiz Objectives Use length and midpoint of a segment. Construct midpoints and congruent segments. Vocabulary coordinate midpoint distance

More information

Geometry 3 SIMILARITY & CONGRUENCY Congruency: When two figures have same shape and size, then they are said to be congruent figure. The phenomena between these two figures is said to be congruency. CONDITIONS

More information

Vectors. Paper 1 Section A. Each correct answer in this section is worth two marks. 4. The point B has coordinates

Vectors. Paper 1 Section A. Each correct answer in this section is worth two marks. 4. The point B has coordinates PSf Vectors Paper Section A Each correct answer in this section is worth two marks.. A vector v is given b 2. 6 What is the length, in units, of v? A. 7 B. 5. 2 D. 49 4. The point B has coordinates (,

More information

PYTHAGORAS THEOREM PYTHAGORAS THEOREM IN A RIGHT ANGLED TRIANGLE, THE SQUARE ON HYPOTENUSE IS EQUAL TO SUM OF SQUARES ON OTHER TWO SIDES

PYTHAGORAS THEOREM PYTHAGORAS THEOREM IN A RIGHT ANGLED TRIANGLE, THE SQUARE ON HYPOTENUSE IS EQUAL TO SUM OF SQUARES ON OTHER TWO SIDES PYTHAGORAS THEOREM PYTHAGORAS THEOREM IN A RIGHT ANGLED TRIANGLE, THE SQUARE ON HYPOTENUSE IS EQUAL TO SUM OF SQUARES ON OTHER TWO SIDES EXERCISE 2.1 *THE SIDES OF A RIGHT ANGLED TRIANGLE CONTAINING THE

More information

0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below?

0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below? 0110ge 1 In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 3 Which expression best describes the transformation shown in the diagram below? If RS = 30

More information

Grade 11 November Examination 2015 Mathematics: Paper 2 Time: 3 hours Marks: 150

Grade 11 November Examination 2015 Mathematics: Paper 2 Time: 3 hours Marks: 150 Grade 11 November Examination 2015 Mathematics: Paper 2 Time: 3 hours Marks: 150 Instructions and Information: Read the following instructions carefully before answering the questions. 1. This question

More information

PREPARED BY: ER. VINEET LOOMBA (B.TECH. IIT ROORKEE) 60 Best JEE Main and Advanced Level Problems (IIT-JEE). Prepared by IITians.

PREPARED BY: ER. VINEET LOOMBA (B.TECH. IIT ROORKEE) 60 Best JEE Main and Advanced Level Problems (IIT-JEE). Prepared by IITians. www. Class XI TARGET : JEE Main/Adv PREPARED BY: ER. VINEET LOOMBA (B.TECH. IIT ROORKEE) ALP ADVANCED LEVEL PROBLEMS Straight Lines 60 Best JEE Main and Advanced Level Problems (IIT-JEE). Prepared b IITians.

More information

Distance. Warm Ups. Learning Objectives I can find the distance between two points. Football Problem: Bailey. Watson

Distance. Warm Ups. Learning Objectives I can find the distance between two points. Football Problem: Bailey. Watson Distance Warm Ups Learning Objectives I can find the distance between two points. Football Problem: Bailey Watson. Find the distance between the points (, ) and (4, 5). + 4 = c 9 + 6 = c 5 = c 5 = c. Using

More information

DATE: MATH ANALYSIS 2 CHAPTER 12: VECTORS & DETERMINANTS

DATE: MATH ANALYSIS 2 CHAPTER 12: VECTORS & DETERMINANTS NAME: PERIOD: DATE: MATH ANALYSIS 2 MR. MELLINA CHAPTER 12: VECTORS & DETERMINANTS Sections: v 12.1 Geometric Representation of Vectors v 12.2 Algebraic Representation of Vectors v 12.3 Vector and Parametric

More information

Mathematics. Exercise 9.3. (Chapter 9) (Sequences and Series) Question 1: Find the 20 th and n th terms of the G.P. Answer 1:

Mathematics. Exercise 9.3. (Chapter 9) (Sequences and Series) Question 1: Find the 20 th and n th terms of the G.P. Answer 1: ( : A step towards free education) Exercise 9.3 Question 1: Find the 20 th and n th terms of the G.P. Answer 1: The given G.P. is Here, a = First term = r = Common ratio = Question 2: Find the 12 th term

More information

ANSWER KEY. LEARNING ACTIVITY 1 Challenge a. A + B = (The sum of its adjacent interior angles between two parallel sides is + B = B = B =

ANSWER KEY. LEARNING ACTIVITY 1 Challenge a. A + B = (The sum of its adjacent interior angles between two parallel sides is + B = B = B = LEARNING ACTIVITY 1 Challenge 1.1 ANSWER KEY 1. a. A + B (The sum of its adjacent interior angles between two parallel sides is + B B B C + D (The sum of its adjacent interior angles between two parallel

More information

MT - GEOMETRY - SEMI PRELIM - I : PAPER - 4

MT - GEOMETRY - SEMI PRELIM - I : PAPER - 4 07 00 MT A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 4 y intercept of the line (c) 0 By slope intercept form, The equation of the line is y m + c y (4) + (0) y 4 MT - GEOMETRY - SEMI

More information

GR 11 MATHS ANALYTICAL GEOMETRY

GR 11 MATHS ANALYTICAL GEOMETRY GR MATHS ANALYTIAL GEMETRY Gr Maths Analtical Geometr hecklist: The Drawers of Tools onsider 'drawers' of tools - all BASI FATS. Use these to analse the sketches, to reason, calculate, prove.... Distance,

More information

Proofs Practice Proofs Worksheet #2

Proofs Practice Proofs Worksheet #2 Name: No. Per: Date: Serafino Geometry M T W R F 2C Proofs Practice Proofs Worksheet #2 1. Given: O is the midpoint of MN Prove: OW = ON OM = OW 1. O is the midpoint of seg MN Given 2. Segment NO = Segment

More information

Maharashtra State Board Class X Mathematics - Geometry Board Paper 2016 Solution

Maharashtra State Board Class X Mathematics - Geometry Board Paper 2016 Solution Maharashtra State Board Class X Mathematics - Geometry Board Paper 016 Solution 1. i. ΔDEF ΔMNK (given) A( DEF) DE A( MNK) MN A( DEF) 5 5 A( MNK) 6 6...(Areas of similar triangles) ii. ΔABC is 0-60 -90

More information

CBSE Class IX Mathematics Term 1. Time: 3 hours Total Marks: 90. Section A

CBSE Class IX Mathematics Term 1. Time: 3 hours Total Marks: 90. Section A CBSE sample papers, Question papers, Notes for Class 6 to 1 CBSE Class IX Mathematics Term 1 Time: 3 hours Total Marks: 90 General Instructions: 1. All questions are compulsory.. The question paper consists

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 01 FOR PERIODIC TEST II EXAM (018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR PERIODIC TEST II EXAM: CLASS IX Chapter VSA (1 mark) SA I (

More information

2. A diagonal of a parallelogram divides it into two congruent triangles. 5. Diagonals of a rectangle bisect each other and are equal and vice-versa.

2. A diagonal of a parallelogram divides it into two congruent triangles. 5. Diagonals of a rectangle bisect each other and are equal and vice-versa. QURILTERLS 1. Sum of the angles of a quadrilateral is 360. 2. diagonal of a parallelogram divides it into two congruent triangles. 3. In a parallelogram, (i) opposite sides are equal (ii) opposite angles

More information

MT - GEOMETRY - SEMI PRELIM - I : PAPER - 1

MT - GEOMETRY - SEMI PRELIM - I : PAPER - 1 07 00 MT A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 5 intercept of the line (c) B slope intercept form, The equation of the line is m + c 5 () + ( ) 5 MT - GEOMETRY - SEMI PRELIM

More information

MHR Principles of Mathematics 10 Solutions 1

MHR Principles of Mathematics 10 Solutions 1 Course Review Note: Length and angle measures may vary slightly due to rounding. Course Review Question Page 8 a) Let l represent the length and w represent the width, then l + w 0. n+ q b) If n represents

More information

( 1 ) Find the co-ordinates of the focus, length of the latus-rectum and equation of the directrix of the parabola x 2 = - 8y.

( 1 ) Find the co-ordinates of the focus, length of the latus-rectum and equation of the directrix of the parabola x 2 = - 8y. PROBLEMS 04 - PARABOLA Page 1 ( 1 ) Find the co-ordinates of the focus, length of the latus-rectum and equation of the directrix of the parabola x - 8. [ Ans: ( 0, - ), 8, ] ( ) If the line 3x 4 k 0 is

More information

iii (a, c), (a, e), (c, e), (b, d), (b, f), (d, f), (l, h), (l, j), (h, j), (g, i), (g, k), (i, k)

iii (a, c), (a, e), (c, e), (b, d), (b, f), (d, f), (l, h), (l, j), (h, j), (g, i), (g, k), (i, k) Cambridge Essentials Mathematics Core 8 GM1.1 Answers GM1.1 Answers 1 a There is more than one valid reason for each statement; those given are the simplest. i Corresponding angles ii Vertically opposite

More information

Geometry Honors Review for Midterm Exam

Geometry Honors Review for Midterm Exam Geometry Honors Review for Midterm Exam Format of Midterm Exam: Scantron Sheet: Always/Sometimes/Never and Multiple Choice 40 Questions @ 1 point each = 40 pts. Free Response: Show all work and write answers

More information

STRAIGHT LINES EXERCISE - 3

STRAIGHT LINES EXERCISE - 3 STRAIGHT LINES EXERCISE - 3 Q. D C (3,4) E A(, ) Mid point of A, C is B 3 E, Point D rotation of point C(3, 4) by angle 90 o about E. 3 o 3 3 i4 cis90 i 5i 3 i i 5 i 5 D, point E mid point of B & D. So

More information

How could you express algebraically, the total amount of money he earned for the three days?

How could you express algebraically, the total amount of money he earned for the three days? UNIT 4 POLYNOMIALS Math 11 Unit 4 Introduction p. 1 of 1 A. Algebraic Skills Unit 4 Polynomials Introduction Problem: Derrek has a part time job changing tires. He gets paid the same amount for each tire

More information

AREAS OF PARALLELOGRAMS AND TRIANGLES

AREAS OF PARALLELOGRAMS AND TRIANGLES AREAS OF PARALLELOGRAMS AND TRIANGLES Main Concepts and Results: The area of a closed plane figure is the measure of the region inside the figure: Fig.1 The shaded parts (Fig.1) represent the regions whose

More information

SQA Higher Mathematics Unit 1

SQA Higher Mathematics Unit 1 SCHOLAR Study Guide SQA Higher Mathematics Unit 1 Jane Paterson Heriot-Watt University Dorothy Watson Balerno High School Heriot-Watt University Edinburgh EH14 4AS, United Kingdom. First published 2001

More information

5 Find an equation of the circle in which AB is a diameter in each case. a A (1, 2) B (3, 2) b A ( 7, 2) B (1, 8) c A (1, 1) B (4, 0)

5 Find an equation of the circle in which AB is a diameter in each case. a A (1, 2) B (3, 2) b A ( 7, 2) B (1, 8) c A (1, 1) B (4, 0) C2 CRDINATE GEMETRY Worksheet A 1 Write down an equation of the circle with the given centre and radius in each case. a centre (0, 0) radius 5 b centre (1, 3) radius 2 c centre (4, 6) radius 1 1 d centre

More information

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). EOCT Practice Items 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B'

More information

Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in

Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.

More information

St Andrew s Academy Mathematics Department Higher Mathematics

St Andrew s Academy Mathematics Department Higher Mathematics St Andrew s Academy Mathematics Department Higher Mathematics VECTORS hsn.uk.net Higher Mathematics Vectors Contents Vectors 1 1 Vectors and Scalars EF 1 Components EF 1 3 Magnitude EF 3 4 Equal Vectors

More information

Triangles. Example: In the given figure, S and T are points on PQ and PR respectively of PQR such that ST QR. Determine the length of PR.

Triangles. Example: In the given figure, S and T are points on PQ and PR respectively of PQR such that ST QR. Determine the length of PR. Triangles Two geometric figures having the same shape and size are said to be congruent figures. Two geometric figures having the same shape, but not necessarily the same size, are called similar figures.

More information