Grade 7 Lines and Angles
|
|
- Lewis Hunt
- 6 years ago
- Views:
Transcription
1 ID : ww-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit Answer t he quest ions (1) WXYZ is a quadrilateral whose diagonals intersect each other at the point O such that OW = OX = OZ. If OWX = 25, then f ind the measures of OZW. (2) If AB and PQ are parallel, compute the angle Z. Choose correct answer(s) f rom given choice (3) If lines AC and BD intersects at point O such that AOB: BOC = 1:2, f ind AOD. a. 128 b. 113 c. 121 d. 120
2 (4) If two horizontal lines are parallel, f ind the value of angle x. ID : ww-7-lines-and-angles [2] a. 75 b. 85 c. 105 d. 65 (5) Which of f ollowing two shapes can be joined together to f orm a semi-circle? (a) (b) (c) (d) a. b and a b. d and a c. c and d d. c and b (6) If AD and BD are bisectors of CAB and CBA respectively, f ind value of ADB. a. 145 b. 136 c. 155 d. 150
3 (7) If AB and CD are parallel, f ind the value of x+y. ID : ww-7-lines-and-angles [3] a. 70 b. 90 c. 60 d. 80 (8) If AB and CD are parallel, f ind the value of angle x. a. 120 b. 60 c. 110 d. 130 (9) If AB and DE are parallel to each other, f ind value of angle BCD. a. 38 b. 53 c. 48 d. 43 (10) If AP and BP are bisectors of angles CAB and CBD respectively, f ind the angle APB. a. 35 b. 40 c. 45 d. 55
4 (11) Find value of angle x ID : ww-7-lines-and-angles [4] a. 50 b. 60 c. 80 d. 70 Fill in the blanks (12) If AB and DE are parallel, f ind the value of ACB (13) If AC and EF are parallel, ADB = Check True/False (14) A triangle can have two obtuse angles. True False (15) A triangle must have at least two acute angles. True False 2016 Edugain ( All Rights Reserved Many more such worksheets can be generated at
5 Answers ID : ww-7-lines-and-angles [5] (1) 65 (2) 88 Construction: Draw a line MN which is parallel to the line PQ and the line AB. If you look at the given f igure caref ully, you will notice that, the addition of the angle Z1, angle Z2 and angle Z makes f ull angle and f ull angle is exactly 360. Theref ore, angle Z1 + angle Z2 + angle Z = 360, angle Z = angle Z1 - angle Z2. Angle P = 40, angle Z1 and angle P are alternate angles, angle Z1 = angle P, angle Z1 = 40. Similarly, angle A = 48, angle Z2 and angle A are alternate angles, angle Z2 = angle A angle Z2 = 48. Step 4 Angle Z = angle Z1 + angle Z2 = = 88. Step 5 Theref ore, the angle Z is 88. (3) d. 120
6 (4) a. 75 ID : ww-7-lines-and-angles [6] When a straight line cuts any two parallel lines, its Alternate Angles are equal. Since angles x and 75 are Alternate angles. Theref ore, x = 75...[Alternate angles of two parallel lines are equal] (5) d. c and b The angle f ormed in a semi-circle is 180. If you look at the f ollowing shapes caref ully, you will notice that shapes c and b makes an angle 180 by joining and hence the shapes c and b can be joined together to f orm a semi-circle. (a) (b) (c) (d)
7 (6) a. 145 ID : ww-7-lines-and-angles [7] It is given that AD and BD are bisectors of CAB and CBA respectively. Theref ore, BAD = CAB/ (1) ABD = CBA/ (2) In triangle ABC, CAB + CBA + ACB = [The sum of all three angles of a triangle is 180 ] CAB + CBA = 180 CAB + CBA = CAB + CBA = 70 CAB/2 + CBA/2 = 70/2 = (3) Now, In triangle ABD, BAD + ABD + ADB = 180 CAB/2 + CBA/2 + ADB = Using (1) &(2) 35 + ADB = Using (3) ADB = = 145 Step 4 Hence, ADB = 145 (7) a. 70 According to question AB and CD are parallel, theref ore x = 30 [Alternate interior angles] y = 40 [Alternate interior angles] Now the value of x+y = = 70
8 (8) a. 120 ID : ww-7-lines-and-angles [8] It is given that line AB and CD and parallel lines and the third line (say EF) cuts them as shown in the f igure. a = c (vertically opposite angles) c = e (alternate interior angles) Theref ore we can write, a = c = e = g Again, b = d (vertically opposite angles) d = f (alternate interior angles) Theref ore we can write, b = d = f = h We know that sum of two adjacent angle is equal to 180. Theref ore, f rom the diagram, you can write, a + b = 180, b + c = 180, c + d = 180, d + a = 180 Given, h = 60 and a = x and h + g = g = 180 g = g = 120 As g is equal to a So, x is 120. Theref ore, the value of x is 120.
9 (9) c. 48 ID : ww-7-lines-and-angles [9] Lets increase the line AB till point F and AF is also parallel to line DE. According to question ABC = 120 and CDE = 108. If you look at the given f igure caref ully, you will notice that CGF and CDE are corresponding angles. theref ore CGF = CDE [Corresponding angles] CGF = 108 [Since CDE = 108 ] Step 4 The angles of straight line add up to 180. Line AF and is a straight line Theref ore ABC + CBG = 180 CBG = ABC CBG = [Since ABC = 120 ] CBG = (1) and CGB + CGF = 180 CGB = CGF CGB = CGB = (2) Step 5 The sum of all three angles of a triangle is 180. Now in triangle BCG, CBG + BGC + BCG = BCG = 180 [Since CBG = 60 and BGC = 72 ] BCG = 180 BCG = BCG = 48 Step 6 If you look at the given f igure caref ully, yoou will notice that BCD = BCG. Theref ore the value of angle BCD = 48.
10 (10) c. 45 ID : ww-7-lines-and-angles [10] As per the question CBD is exterior angle of the triangle ABC and we know that an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Theref ore, CBD = CAB (1) In triangle ABC, CAB + ABC + ACB = 180 CAB + ABC = CAB + ABC = (2) It is given that AP and BP are bisectors of angles CAB and CBD respectively. Theref ore, PAB = CAB/ (3) CBP = CBD/ (4) Step 4 Now, in triangle ABP, PAB + ABP + APB = [Since the sum of all three angles of a triangle is 180 ] APB = PAB - ABP APB = CAB/2 - ABP..[From equation (3), PAB = CAB/2] APB = CAB/2 - ( ABC + CBP) APB = CAB/2 - ( ABC + CBD/2)...[From equation (4), CBP = CBD/2] APB = CAB/2 - { ABC + ( CAB + 90 )/2}...[From equation (1)] APB = CAB/2 - ( ABC + CAB/ ) APB = CAB/2 - ABC - CAB/2-45 APB = ( CAB + ABC) APB = [From equation (2)] APB = 45 Step 5 Hence, the value of angle APB is 45.
11 (11) b. 60 ID : ww-7-lines-and-angles [11] If you look at the f igure caref ully, you will notice that line AB is a straight line. The angles of straight line add up to 180. Line AB is a straight line, theref ore x = x = 180 x = x = 60. Theref ore the value of angle x is 60.
12 (12) 124 ID : ww-7-lines-and-angles [12] If you look at the f igure caref ully, you will notice that the angle BAC = 21, BDE = 35. According to question AB and DE are parallel. T heref ore the angles ABC and BDE are alternate interior angles. ABC = BDE [Alternate interior angles] ABC = 35 The sum of all three angles of a triangle is 180. Now in triangle ABC, ABC + BAC + ACB = ACB = 180 [Since ABC = 35 and BAC = 21 ] 56 + ACB = 180 ACB = ACB = 124 Step 4 Theref ore the value of ACB is 124.
13 (13) 70 ID : ww-7-lines-and-angles [13] If you look at the f igure caref ully, you will notice that ADE = 55 and DBC = 125. According to question AC and EF are parallel. Theref ore we can say that EDB and DBC are alternate interior angles. Now EDB = DBC [Alternate interior angles] ADE + ADB = DBC [Since EDB = ADE + ADB] ADB = ADE [Since ADB = 125 ] ADB = [Since ADE = 55 ] ADB = 70 Step 4 Theref ore ADB = 70
14 (14) False ID : ww-7-lines-and-angles [14] Let's consider the triangle ABC in the f igure above. Since we know that the sum of all three angles of a triangle is 180, in ΔABC: A + B + C = 180. Let's assume that A of the ΔABC is an obtuse angle. That is, A > 90. Now, A + B + C = 180 B + C = A B + C < 90 (Since A > 90 ) We just saw that the sum of B and C of the ΔABC is less than 90. Theref ore, we can say that the B and the C must be acute angles and the statement "A triangle can have two obtuse angles" is False.
15 (15) True ID : ww-7-lines-and-angles [15] Let's consider the triangle ABC in the f igure above. Since we know that the sum of all three angles of a triangle is 180, in ΔABC: A + B + C = 180. Let's assume that A of the ΔABC is an obtuse angle. That is, A > 90. Now, A + B + C = 180 B + C = A B + C < 90 (Since A > 90 ) We just saw that the sum of B and C of the ΔABC is less than 90. Theref ore, we can say that the B and the C must be acute angles and the statement "A triangle must have at least two acute angles" is True.
Grade 7 Lines and Angles
ID : ph-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If CD is perpendicular to AB, and CE bisect angle ACB, f ind the angle
More informationGrade 9 Lines and Angles
ID : sg-9-lines-and-angles [1] Grade 9 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If AB and PQ are parallel, compute the angle Z. (2) Find the value of a+b.
More informationGrade 7 Lines and Angles
ID : ae-7-lines-and-angles [1] Grade 7 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If lines AC and BD intersects at point O such that AOB: BOC = 3:2, f ind
More informationGrade 9 Lines and Angles
ID : ww-9-lines-and-angles [1] Grade 9 Lines and Angles For more such worksheets visit www.edugain.com Answer t he quest ions (1) If CD is perpendicular to AB, and CE bisect angle ACB, f ind the angle
More informationClass 7 Lines and Angles
ID : in-7-lines-and-angles [1] Class 7 Lines and Angles For more such worksheets visit www.edugain.com Answer the questions (1) ABCD is a quadrilateral whose diagonals intersect each other at point O such
More informationGrade 6 Geometry. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : ww-6-geometry [1] Grade 6 Geometry For more such worksheets visit www.edugain.com Answer t he quest ions (1) If AB and CD are parallel, f ind the value of angle x. Choose correct answer(s) f rom given
More informationClass 6 Geometry. Answer the questions. For more such worksheets visit (1) If AB and DE are parallel, find the value of ACB.
ID : in-6-geometry [1] Class 6 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) If AB and DE are parallel, find the value of ACB. (2) If AB and DE are parallel to each other,
More informationGrade 9 Geometry-Overall
ID : au-9-geometry-overall [1] Grade 9 Geometry-Overall For more such worksheets visit www.edugain.com Answer t he quest ions (1) A chord of a circle is equal to its radius. Find the angle subtended by
More informationGrade 7 Triangle and its properties
ID : ae-7-triangle-and-its-properties [1] Grade 7 Triangle and its properties For more such worksheets visit www.edugain.com Answer t he quest ions (1) In triangle In ΔABC, D is a point on the side BC
More informationClass 9 Geometry-Overall
ID : in-9-geometry-overall [1] Class 9 Geometry-Overall For more such worksheets visit www.edugain.com Answer t he quest ions (1) AB is diameter of the circle. If A and B are connected to E, circle is
More informationGrade 9 Circles. Answer t he quest ions. For more such worksheets visit
ID : th-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it
More informationGrade 9 Full Year 9th Grade Review
ID : ww-9-full-year-9th-grade-review [1] Grade 9 Full Year 9th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) A carpenter has cut a board in the shape of trapezium.
More informationGrade 9 Full Year 9th Grade Review
ID : ae-9-full-year-9th-grade-review [1] Grade 9 Full Year 9th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) The average of Aden's marks in 5 subjects is 79. She
More informationClass 9 Full Year 9th Grade Review
ID : in-9-full-year-9th-grade-review [1] Class 9 Full Year 9th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a parallelogram with E and F as the mid-points
More informationClass 9 Quadrilaterals
ID : in-9-quadrilaterals [1] Class 9 Quadrilaterals For more such worksheets visit www.edugain.com Answer t he quest ions (1) The diameter of circumcircle of a rectangle is 13 cm and rectangle's width
More informationGrade 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 informationGrade 6 Integers. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks
ID : ww-6-integers [1] Grade 6 Integers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Subtract : A) -8566 f rom 37583-73166 f rom 13448-62694 f rom 11073 57430 f rom -53545
More informationL Y Q S F C. Class 7 Symmetry. Answer t he quest ions. For more such worksheets visit
ID : in-7-symmetry [1] Class 7 Symmetry For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the order of rotational symmetry in f ollowing image. (2) How many lines of symmetry
More informationTriangles. 3.In the following fig. AB = AC and BD = DC, then ADC = (A) 60 (B) 120 (C) 90 (D) none 4.In the Fig. given below, find Z.
Triangles 1.Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side? (A) 19 cm. (B) 17 cm. (C) 23 cm. of these. 2.Can 80, 75 and 20 form a triangle?
More informationGrade 8 Rational Numbers
ID : ae--rational-numbers [1] Grade Rational Numbers For more such worksheets visit wwwedugaincom Answer t he quest ions (1) Find the dif f erence between the greatest and the least numbers of - 4-24 9
More information(5) Find the resultant shape obtained by connecting points (0, 5) (0, 20) (25, 20) and (25, 5).
ID : ww-9-olympiad [1] Grade 9 Olympiad For more such worksheets visit www.edugain.com Answer t he quest ions (1) If a cone and hemisphere stands on equal bases, and have the same height. Find the ratio
More informationClass 7 Mensuration - Perimeter, Area, Volume
ID : U-92206-76-2397-Mensuration-Perimeter-Area-Volume [1] Class 7 Mensuration - Perimeter, Area, Volume For more such worksheets visit www.edugain.com Answer t he quest ions (1) The cost of f encing is
More informationGrade 8 Algebraic Identities
ID : ae-8-algebraic-identities [1] Grade 8 Algebraic Identities For more such worksheets visit www.edugain.com Answer t he quest ions (1) If, f ind the value of. (2) If 3(p 2 + q 2 + r 2 ) = (p + q + r)
More informationClass 4 Fractions. Answer t he quest ions. For more such worksheets visit
ID : infractions [] Class Fractions For more such worksheets visit www.edugain.com Answer t he quest ions () Which mixed f raction is shown by the f igure given below? () If sum of both horizontal and
More informationGrade 8 Rational Numbers
ID : sg-8-rational-numbers [1] Grade 8 Rational Numbers For more such worksheets visit wwwedugaincom Answer t he quest ions (1) Is 003 the multiplicative inverse of 33 1 3? Why or why not? (2) What is
More informationClass 8 Multiplication of Polynomials
ID : in-8-multiplication-of-polynomials [1] Class 8 Multiplication of Polynomials For more such worksheets visit www.edugain.com Answer t he quest ions (1) If (2pq + 2p) ( -2pq + 2p + 2) = ( -4p 2 q 2
More informationGrade 6 Integers. Answer t he quest ions. Fill in the blanks. For more such worksheets visit
ID : ae-6-integers [1] Grade 6 Integers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the predecessor of each of the f ollowing integers: A) -98 = B) -63 = C) -8 = D) -3
More informationFill in the blanks Chapter 10 Circles Exercise 10.1 Question 1: (i) The centre of a circle lies in of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater
More informationGrade 10 Arithmetic Progressions
ID : us-0-arithmetic-progressions [] Grade 0 Arithmetic Progressions For more such worksheets visit www.edugain.com Answer t he quest ions () The sum of f irst 9 terms of an arithmetic progression is -234
More informationClass IX - NCERT Maths Exercise (10.1)
Class IX - NCERT Maths Exercise (10.1) Question 1: Fill in the blanks (i) The centre of a circle lies in of the circle. (exterior/interior) (ii) A point, whose distance from the centre of a circle is greater
More informationGrade 9 Circles. Answer the questions. For more such worksheets visit
ID : ae-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer the questions (1) Two circles with centres O and O intersect at two points A and B. A line PQ is drawn parallel
More informationGrade 10 Arithmetic Progressions
ID : ww-0-arithmetic-progressions [] Grade 0 Arithmetic Progressions For more such worksheets visit www.edugain.com Answer t he quest ions () The nth term of an arithmetic progression is given by the equation
More informationClass 4 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : in-4-decimals [1] Class 4 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) Write the number one Ten thousandths in decimal f orm (2) What do you get when you subtract
More informationClass IX Chapter 7 Triangles Maths. Exercise 7.1 Question 1: In quadrilateral ACBD, AC = AD and AB bisects A (See the given figure).
Exercise 7.1 Question 1: In quadrilateral ACBD, AC = AD and AB bisects A (See the given figure). Show that ABC ABD. What can you say about BC and BD? In ABC and ABD, AC = AD (Given) CAB = DAB (AB bisects
More informationGrade 8 Full Year 8th Grade Review
ID : ww-8-full-year-8th-grade-review [1] Grade 8 Full Year 8th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the 6 rational numbers between -3 10 and -7 10.
More informationQuestion 1: In quadrilateral ACBD, AC = AD and AB bisects A (See the given figure). Show that ABC ABD. What can you say about BC and BD?
Class IX - NCERT Maths Exercise (7.1) Question 1: In quadrilateral ACBD, AC = AD and AB bisects A (See the given figure). Show that ABC ABD. What can you say about BC and BD? Solution 1: In ABC and ABD,
More informationClass IX Chapter 7 Triangles Maths
Class IX Chapter 7 Triangles Maths 1: Exercise 7.1 Question In quadrilateral ACBD, AC = AD and AB bisects A (See the given figure). Show that ABC ABD. What can you say about BC and BD? In ABC and ABD,
More information21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.
21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle. 22. Prove that If two sides of a cyclic quadrilateral are parallel, then
More information6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.
6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has
More informationGrade 9 Number System
ID : ae-9-number-system [] Grade 9 Number System For more such worksheets visit www.edugain.com Answer t he quest ions () Write a multiple of -5-7 rational number? (2) Express the f ollowing numbers in
More informationGeometry 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 informationExercise 10.1 Question 1: Fill in the blanks (i) The centre of a circle lies in of the circle. (exterior/ interior)
Exercise 10.1 Question 1: Fill in the blanks (i) The centre of a circle lies in of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies
More informationGrade 7 Integers. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks
ID : ae-7-integers [1] Grade 7 Integers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Subtract : A) 21644 f rom 22642 B) -4505 f rom -83570 C) 133 f rom 16220 D) -56723 f rom
More informationQuestion Bank Tangent Properties of a Circle
Question Bank Tangent Properties of a Circle 1. In quadrilateral ABCD, D = 90, BC = 38 cm and DC = 5 cm. A circle is inscribed in this quadrilateral which touches AB at point Q such that QB = 7 cm. Find
More informationSHW 1-01 Total: 30 marks
SHW -0 Total: 30 marks 5. 5 PQR 80 (adj. s on st. line) PQR 55 x 55 40 x 85 6. In XYZ, a 90 40 80 a 50 In PXY, b 50 34 84 M+ 7. AB = AD and BC CD AC BD (prop. of isos. ) y 90 BD = ( + ) = AB BD DA x 60
More informationEXERCISE 10.1 EXERCISE 10.2
NCERT Class 9 Solved Questions for Chapter: Circle 10 NCERT 10 Class CIRCLES 9 Solved Questions for Chapter: Circle EXERCISE 10.1 Q.1. Fill in the blanks : (i) The centre of a circle lies in of the circle.
More informationSOLUTIONS SECTION A [1] = 27(27 15)(27 25)(27 14) = 27(12)(2)(13) = cm. = s(s a)(s b)(s c)
1. (A) 1 1 1 11 1 + 6 6 5 30 5 5 5 5 6 = 6 6 SOLUTIONS SECTION A. (B) Let the angles be x and 3x respectively x+3x = 180 o (sum of angles on same side of transversal is 180 o ) x=36 0 So, larger angle=3x
More informationGrade 9 Data Handling - Probability, Statistics
ID : ph-9-data-handling-probability-statistics [1] Grade 9 Data Handling - Probability, Statistics For more such worksheets visit www.edugain.com Answer t he quest ions (1) Danilo selects 3 numbers randomly
More informationPRACTICE QUESTIONS CLASS IX: CHAPTER 4 LINEAR EQUATION IN TWO VARIABLES
PRACTICE QUESTIONS CLASS IX: CHAPTER 4 LINEAR EQUATION IN TWO VARIABLES 1. Find the value of k, if x =, y = 1 is a solution of the equation x + 3y = k.. Find the points where the graph of the equation
More informationGrade 6 Second quarter at school
ID : ww-6-second-quarter-at-school [] Grade 6 Second quarter at school For more such worksheets visit wwwedugaincom Answer t he quest ions () Shade the images to show the f ollowing f raction addition
More informationMathematics 2260H Geometry I: Euclidean geometry Trent University, Winter 2012 Quiz Solutions
Mathematics 2260H Geometry I: Euclidean geometry Trent University, Winter 2012 Quiz Solutions Quiz #1. Tuesday, 17 January, 2012. [10 minutes] 1. Given a line segment AB, use (some of) Postulates I V,
More informationClass 8 Introduction to Graphs
ID : in-8-introduction-to-graphs [1] Class 8 Introduction to Graphs For more such worksheets visit www.edugain.com Answer t he quest ions (1) A bus is travelling with unif orm speed in one direction. Following
More information0811ge. Geometry Regents Exam
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 ) 8 3) 3 4) 6 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More informationCHAPTER 7 TRIANGLES. 7.1 Introduction. 7.2 Congruence of Triangles
CHAPTER 7 TRIANGLES 7.1 Introduction You have studied about triangles and their various properties in your earlier classes. You know that a closed figure formed by three intersecting lines is called a
More informationGrade 5 Geometry. Answer the questions. Choose correct answer(s) from the given choices. Fill in the blanks
ID : cn-5-geometry [1] Grade 5 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) What is the common term for the perimeter of a circle? (2) What is the perimeter of an isosceles
More informationGrade 6 Natural and Whole Numbers
ID : pk-6-natural-and-whole-numbers [1] Grade 6 Natural and Whole Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Along the highway, there are electric poles on one side
More informationChapter 7. Geometric Inequalities
4. Let m S, then 3 2 m R. Since the angles are supplementary: 3 2580 4568 542 Therefore, m S 42 and m R 38. Part IV 5. Statements Reasons. ABC is not scalene.. Assumption. 2. ABC has at least 2. Definition
More information0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More informationClass 4 Division. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : in-4-division [1] Class 4 Division For more such worksheets visit www.edugain.com Answer t he quest ions (1) Division is a repeated f orm of which other mathematical operation? Choose correct answer(s)
More informationLLT Education Services
8. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (a) 4 cm (b) 3 cm (c) 6 cm (d) 5 cm 9. From a point P, 10 cm away from the
More informationClass 9 Data Handling - Probability, Statistics
ID : in-9-data-handling-probability-statistics [1] Class 9 Data Handling - Probability, Statistics For more such worksheets visit www.edugain.com Answer t he quest ions (1) A card is drawn f rom a shuf
More informationClass IX Chapter 8 Quadrilaterals Maths
1 Class IX Chapter 8 Quadrilaterals Maths Exercise 8.1 Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Let the common ratio between the angles
More informationClass IX Chapter 8 Quadrilaterals Maths
Class IX Chapter 8 Quadrilaterals Maths Exercise 8.1 Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Answer: Let the common ratio between
More informationMath 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper.
Math 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper. 12. What angle has the same measure as its complement? How do you know? 12. What is the
More informationMathematics. 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 informationPLC Papers. Created For:
PLC Papers Created For: ed by use of accompanying mark schemes towards the rear to attain 8 out of 10 marks over time by completing Circle Theorems 1 Grade 8 Objective: Apply and prove the standard circle
More informationNAME: Mathematics 133, Fall 2013, Examination 3
NAME: Mathematics 133, Fall 2013, Examination 3 INSTRUCTIONS: Work all questions, and unless indicated otherwise give reasons for your answers. If the problem does not explicitly state that the underlying
More information10. Circles. Q 5 O is the centre of a circle of radius 5 cm. OP AB and OQ CD, AB CD, AB = 6 cm and CD = 8 cm. Determine PQ. Marks (2) Marks (2)
10. Circles Q 1 True or False: It is possible to draw two circles passing through three given non-collinear points. Mark (1) Q 2 State the following statement as true or false. Give reasons also.the perpendicular
More informationGrade 5 Large Numbers
ID : gb-5-large-numbers [1] Grade 5 Large Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) Arrange the f ollowing numbers in Ascending Order: 34606246, 33371563, 23968628,
More informationright angle an angle whose measure is exactly 90ᴼ
right angle an angle whose measure is exactly 90ᴼ m B = 90ᴼ B two angles that share a common ray A D C B Vertical Angles A D C B E two angles that are opposite of each other and share a common vertex two
More informationDefinitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg ( )
Definitions, Axioms, Postulates, Propositions, and Theorems from Euclidean and Non-Euclidean Geometries by Marvin Jay Greenberg (2009-03-26) Logic Rule 0 No unstated assumptions may be used in a proof.
More informationTHEOREMS WE KNOW PROJECT
1 This is a list of all of the theorems that you know and that will be helpful when working on proofs for the rest of the unit. In the Notes section I would like you to write anything that will help you
More information(4) How is the number f orty-six and eighty-f our Ten thousandths written in decimal f orm? a b c d. 46.
ID : ww-6-decimals [1] Grade 6 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) What is the dif f erence of nine Thousandths and f ive Ten thousandths? (2) Fill in the
More informationGrade 10 Linear Equations in Two Variables
ID : ae-10-linear-equations-in-two-variables [1] Grade 10 Linear Equations in Two Variables For more such worksheets visit www.edugain.com Answer t he quest ions (1) 12 chairs and 10 tables cost Dhs4700
More informationTRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions
CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)
More informationClass 10 Real Numbers
ID : in-10-real-numbers [1] Class 10 Real Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) The LCM of two numbers is 760 and their product is 6080. Find their HCF. (2)
More informationClass 10 Polynomials. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit
ID : in-10-polynomials [1] Class 10 Polynomials For more such worksheets visit www.edugain.com Answer t he quest ions (1) If α and β are the zeros of quadratic polynomial x 2 + px - 2q, f ind the value
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of
More informationClass 7 Symmetry. Answer the questions. For more such worksheets visit (1) Find the order of rotational symmetry in the given image.
ID : in-7-symmetry [1] Class 7 Symmetry For more such worksheets visit www.edugain.com Answer the questions (1) Find the order of rotational symmetry in the given image. (2) How many lines of symmetry
More informationKENDRIYA 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 information9 th CBSE Mega Test - II
9 th CBSE Mega Test - II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A
More informationClass : IX(CBSE) Worksheet - 1 Sub : Mathematics Topic : Number system
Class : IX(CBSE) Worksheet - Sub : Mathematics Topic : Number system I. Solve the following:. Insert rational numbers between. Epress 57 65 in the decimal form. 8 and.. Epress. as a fraction in the simplest
More informationGeometry - Semester 1 Final Review Quadrilaterals
Geometry - Semester 1 Final Review Quadrilaterals 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that apply. a. Plane L b. Plane ABC c. Plane DBC d. Plane E e. Plane
More informationGrade 10 Real Numbers
ID : ww-10-real-numbers [1] Grade 10 Real Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) In a seminar, the number of participants in German, English and French are 378,
More informationA plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line)
Geometry - Semester 1 Final Review Quadrilaterals (Including some corrections of typos in the original packet) 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that
More informationTriangles. Chapter Flowchart. The Chapter Flowcharts give you the gist of the chapter flow in a single glance.
Triangles Chapter Flowchart The Chapter Flowcharts give you the gist of the chapter flow in a single glance. Triangle A plane figure bounded by three line segments is called a triangle. Types of Triangles
More information2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent B. right C. equilateral D.
1. If two angles of a triangle measure 56 and 68, the triangle is A. scalene B. isosceles C. obtuse D. right 2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent
More informationRMT 2013 Geometry Test Solutions February 2, = 51.
RMT 0 Geometry Test Solutions February, 0. Answer: 5 Solution: Let m A = x and m B = y. Note that we have two pairs of isosceles triangles, so m A = m ACD and m B = m BCD. Since m ACD + m BCD = m ACB,
More informationClass 4 Large Numbers
Class 4 Large Numbers For more such worksheets visit www.edugain.com ID : in-4-large-numbers [1] Answer t he quest ions (1) Find the sum of 549556 and 8407100. (2) Find the sums: A) 2 1 1 9 1 1 7 4 B)
More information8. 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 informationSMT 2018 Geometry Test Solutions February 17, 2018
SMT 018 Geometry Test Solutions February 17, 018 1. Consider a semi-circle with diameter AB. Let points C and D be on diameter AB such that CD forms the base of a square inscribed in the semicircle. Given
More informationBRAIN INTERNATIONAL SCHOOL TERM -II CLASS- IX SUB :- MATHS REVISION SHEET
BRAIN INTERNATIONAL SCHOOL TERM -II CLASS- IX 2017-18 SUB :- MATHS REVISION SHEET NUMBER SYSTEMS 1. Find three rational numbers between 2/7 and 3/7 2. Find two irrational numbers whose: (i)product is an
More information1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle?
1 For all problems, NOTA stands for None of the Above. 1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? (A) 40 (B) 60 (C) 80 (D) Cannot be determined
More informationGrade 5 Multiplication
ID : ww-5-multiplication [1] Grade 5 Multiplication For more such worksheets visit www.edugain.com Answer t he quest ions (1) Sharon is practicing to participate in an upcoming marathon. She runs 17 km
More informationGrade 6 Math Circles March 22-23, 2016 Contest Prep - Geometry
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles March 22-23, 2016 Contest Prep - Geometry Today we will be focusing on how to solve
More informationGrade 9 Data Handling - Probability, Statistics
ID : ae-9-data-handling-probability-statistics [1] Grade 9 Data Handling - Probability, Statistics For more such worksheets visit www.edugain.com Answer t he quest ions (1) The numbers 1 to 19 are written
More informationClass 5 Fractions. Answer t he quest ions. For more such worksheets visit
ID : in-5-fractions [] Class 5 Fractions For more such worksheets visit wwwedugaincom Answer t he quest ions () The table below shows the number of books read by f ive children in one month Name Number
More informationGiven. Segment Addition. Substitution Property of Equality. Division. Subtraction Property of Equality
Mastery Test Questions (10) 1. Question: What is the missing step in the following proof? Given: ABC with DE AC. Prove: Proof: Statement Reason
More informationSSC CGL Tier 1 and Tier 2 Program
Gurudwara Road Model Town, Hisar 9729327755 www.ssccglpinnacle.com SSC CGL Tier 1 and Tier 2 Program -------------------------------------------------------------------------------------------------------------------
More informationFoundations of Neutral Geometry
C H A P T E R 12 Foundations of Neutral Geometry The play is independent of the pages on which it is printed, and pure geometries are independent of lecture rooms, or of any other detail of the physical
More information