Properties of Triangles and Four-Sided Figures Lesson 13.1 Classifying Triangles

Similar documents
Properties of Triangles and Four-Sided Figures Lesson 13.1 Classifying Triangles

Angles. Lesson 12.1 Angles on a Line. Find the unknown marked angles. The diagrams are not drawn to scale. 1. AC is a line. Find the measure of DBE.

H. Math 2 Benchmark 1 Review

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.

Name: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?

SEMESTER REVIEW 1: Chapters 1 and 2

9.3 Start Thinking. 9.3 Warm Up. 9.3 Cumulative Review Warm Up. In the diagram below, CD is an altitude to the hypotenuse of. 1.

Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.

End of Course Review

Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5

Lesson 12.1 Skills Practice

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

Lesson 9.3 Relating Congruent and Similar Figures to Geometric Transformations

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition. GEOMETRY and MEASUREMENT GRADE 7-8

Pre-Algebra Chapter 9 Spatial Thinking

Exercise. and 13x. We know that, sum of angles of a quadrilateral = x = 360 x = (Common in both triangles) and AC = BD

Skills Practice Skills Practice for Lesson 9.1

Unit 4A Part B 1) The radius of a circular clock face is 13 centimeters. Which expression can be used to find the

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

CN#5 Objectives 5/11/ I will be able to describe the effect on perimeter and area when one or more dimensions of a figure are changed.

Reteaching , or 37.5% 360. Geometric Probability. Name Date Class

Geometry AIR Test. Mar 14-3:07 PM. coordinate/algebraic proofs, parallel and perpendicular lines, distance formula, midpoint formula.

Geometry. Midterm Review

0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.

VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)

Name That Triangle! Classifying Triangles on the Coordinate Plane. LESSON 5.1 Assignment

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

LT 2.1 Study Guide and Intervention Classifying Triangles

A shape which can be divided by a straight line, so that each part is the mirror image of the other has reflective symmetry.

Diagnostic Assessment Number and Quantitative Reasoning

MATHEMATICS. Unit 2. Part 2 of 2. Relationships

Int. Geometry Units 1-6 Review 1

4.3 Isosceles and Equilateral

Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown.

Year 9 Term 3 Homework

1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.

1 = 1, b d and c d. Chapter 7. Worked-Out Solutions Chapter 7 Maintaining Mathematical Proficiency (p. 357) Slope of line b:

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


OBJECTIVE TEST. Answer all questions C. N3, D. N3, Simplify Express the square root of in 4

Semester 1 Cumulative Summative Review Teacher: Date: B

Geometry Honors Final Exam Review June 2018

1. Use. What are the vertices of A.,, B.,, C.,, D.,,

Honors Geometry Mid-Term Exam Review

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

Section 8.1 Objective: Students will be able to solve equations to find angle measures (supplementary and complementary).

Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7

Suggested Approach Pythagorean Theorem The Converse of Pythagorean Theorem Applications of Pythagoras Theorem. Notes on Teaching 3

1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.

+2 u, 2s ) [D] ( r+ t + u, 2s )

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY

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.

Name: Jan 2016 Semester1 Review Block: Date:

Chapter 3 Cumulative Review Answers

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

Work with a partner. Use dynamic geometry software. Draw any scalene ABC. a. Find the side lengths and angle measures of the triangle.

0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.

Name: 2015 Midterm Review Period: Date:

Geometry Simulation Test 2014 Region 1

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 9: Proving Theorems About Triangles Instruction

Section A Finding Vectors Grade A / A*

Name: Class: Date: c. WZ XY and XW YZ. b. WZ ZY and XW YZ. d. WN NZ and YN NX

Geometry: A Complete Course

GM1.1 Answers. Reasons given for answers are examples only. In most cases there are valid alternatives. 1 a x = 45 ; alternate angles are equal.

Section 7.2: Area of a Triangle

Answers. Chapter 9 A92. Angles Theorem (Thm. 5.6) then XZY. Base Angles Theorem (Thm. 5.6) 5, 2. then WV WZ;

Geometry Honors: Midterm Exam Review January 2018

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)

9.3. Practice C For use with pages Tell whether the triangle is a right triangle.

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

2013 ACTM Regional Geometry Exam

Sample Copyright. Academic Group. 15 Geometric Proofs using Vectors. Calculator Assumed. 1. [6 marks: 2, 2, 2,]

Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.

Geometry Honors Review for Midterm Exam

Geometry Review 1. a. What is the median of the data displayed on the line plot? How many people participated in the contest?

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, June 19, :15 a.m. to 12:15 p.m.

Honors Geometry Qtr 2 Practice from Chapters 5-8

Triangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y?

Replacement for a Carpenter s Square

Los Angeles Unified School District Periodic Assessments. Geometry. Assessment 2 ASSESSMENT CODE LA08_G_T2_TST_31241

Pythagorean Theorem a= 6.4, b = 12, c = a = 2.1, b = 7.2, c = 7.5

Inside Out. Triangle Sum, Exterior Angle, and Exterior Angle Inequality Theorems. Lesson 3.1 Assignment

Chapter 03 Test. 1 Complete the congruence statement. A B C D. 2 Complete the congruence statement. A B C D

NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST. Name: Date:

Properties of Isosceles and Equilateral Triangles

Chapter 5 Practice Problem Answers 1.

Challenge: Skills and Applications For use with pages P( 1, 4) R( 3, 1)

Triangles. Exercise 4.1

Assignment. Riding a Ferris Wheel Introduction to Circles. 1. For each term, name all of the components of circle Y that are examples of the term.

Chapter 6. Worked-Out Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299)

Triangles. Chapter Flowchart. The Chapter Flowcharts give you the gist of the chapter flow in a single glance.

Quads. 4. In the accompanying figure, ABCD is a parallelogram, m A = 2x + 35, and m C = 5x 22. Find the value of x.

0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below.

Math 9 Unit 8: Circle Geometry Pre-Exam Practice

Chapter 18 Exercise 18.1

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

Course 2 Benchmark Test Third Quarter

SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80

Transcription:

HPTR13 Properties of Triangles and our-sided igures Lesson 13.1 lassifying Triangles 1. lassify the following triangles by sides as a scalene triangle, an isosceles triangle, or an equilateral triangle. G H L P K X 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. M N Q R Y Z S K T U Scalene Triangles quilateral Triangles Isosceles Triangles xtra Practice 5 87

2. lassify the following triangles by angles as a right triangle, an isosceles triangle, or an equilateral triangle. Use a protractor to help you classify the triangles. G H K L P S M N Q R T U V X W X Y Z Right Triangles quilateral Triangles Isosceles Triangles 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 88 hapter 13 Lesson 13.1

Lesson 13.2 Measures of ngles of a Triangle ind the unknown angle measures. The figures are not drawn to scale. 1. 38 a 46 m a 2. 39 115 e m e 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 3. 4. g 28 G 45 19 H m g m f 76 f xtra Practice 5 89

5. T t 88 30 V m t U 6. Q 35 36 R r S m r T 7. 8. X 28 53 V W 29 37 a 47 y Y m y m a 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 90 hapter 13 Lesson 13.2

Lesson 13.3 Right, Isosceles, and quilateral Triangles ind the unknown angle measures in each right triangle. The figures are not drawn to scale. 1. is a right triangle. ind the measure of. 58 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2. PQR is a right triangle. ind the measure of PRQ. R P 37 Q xtra Practice 5 91

ind the unknown angle measures. The figures are not drawn to scale. 3. is a right triangle. ind the measure of. 36 47 4. is an isosceles triangle with, m 34, and m 44. ind the measure of. 44 34 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 92 hapter 13 Lesson 13.3

ind the unknown angle measures in each figure. The figures are not drawn to scale. 5. O is an isosceles triangle. O O. O is a right triangle. ind the measure of O 24 O 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 6. is an equilateral triangle and is an isosceles triangle. ind the measure of. xtra Practice 5 93

7. is a 6-sided fi gure. ll the triangles are equilateral triangles. ind the measure of. 8. is an equilateral triangle.. ind the measure of. 28 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 94 hapter 13 Lesson 13.3

Lesson 13.4 Triangle Inequalities omplete. Measure the sides of the triangle to the nearest inch. R P Q 1. PQ in. QR in. PR in. 2. PQ QR in. 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 3. PQ PR in. 4. PR QR in. Use your answers in xercises 1 to 4. ill in the blanks with Yes or No. 5. Is PQ QR PR? 6. Is PQ PR QR? 7. Is PR QR PQ? xtra Practice 5 95

omplete. Measure the sides of the triangle to the nearest centimeter. 8. cm cm cm 9. cm 10. cm 11. cm Use your answers in xercises 8 to 11. Write the sides of the triangle to make the inequalities true. 12. 13. 14. 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 96 hapter 13 Lesson 13.4

The lengths of two sides of each triangle are given. Name a possible length for the third side. The given lengths are in whole centimeters or inches. 15. Z 2 in.? X 4 in. Y In triangle XYZ, the length of ZY is greater than 2 inches. possible length of ZY, rounded to the nearest inch, is. 16. G 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii.? 5 cm 4 cm In triangle G, the length of G is greater than 4 centimeters. possible length of G, rounded to the nearest centimeter, is. xtra Practice 5 97

The lengths of two sides of each triangle are given. Name a possible length for the third side. The given lengths are in whole centimeters or whole inches. 17. U 9 cm? S 8 cm T 18. In triangle STU, the length of UT is less than 10 centimeters. possible length of UT, rounded to the nearest centimeter, is. R 2 in.? P 3 in. Q In triangle PQR, the length of RQ is greater than 3 inches. The possible length of RQ, rounded to the nearest inch, is. 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 98 hapter 13 Lesson 13.4

Lesson 13.5 Parallelogram, Rhombus, and Trapezoid ind the unknown angle measures. The figures are not drawn to scale. 1. G is a parallelogram and G GH. ind the measure of y. H 48 64 y G 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2. PQRS is a parallelogram and RST is a right triangle. ind the measures of PSR and RST. Q 118 P S T R xtra Practice 5 99

3. and are parallelograms. ind the measure of. 108 59 4. PQRS is a rhombus and PR TR. ind the measure of PQR. P S T 116 Q R 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 100 hapter 13 Lesson 13.5

5. WXYZ is a rhombus and WV is a line segment. ind the measure of VYZ. X W 128 Y V Z 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 6. is a rhombus. is a line segment. ind the measure of x. x 108 64 xtra Practice 5 101

7. PQRS is trapezoid and SR PQ. SR PR. ind the measure of PRQ. S 67 R P 58 Q 8. is a trapezoid. and. is a line. ind the measure of. 96 130 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 102 hapter 13 Lesson 13.5

Put on Your Thinking ap! The figures are not drawn to scale. ind the unknown angle measures. 1. PQRS and STUV are parallelograms and PT PU. ind the measure of RSV. Q R U 118 V P T S 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2. PQRS is a parallelogram and ST SP. ind the measure of a. T S 106 P R a Q xtra Practice 5 103

3. is a square and is a rhombus. ind the measure of. 54 4. G is a trapezoid and G. and are isosceles triangles. ind the measures of x and y. 32 G y x 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 104 hapter 13 Put on Your Thinking ap!

5. In the fi gure, PS PR RQ and the measure of STP is twice the measure of TPS. ind the measures of x and y. y T S P x R 27 Q 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 6. is an equilateral triangle. is an isosceles triangle, where, m 54, and m 118. ind the measures of x and y. x 118 54 y G xtra Practice 5 105

7. is a rectangle. and G. ind the measures of x and y. G y 34 x 58 8. is a right triangle, G is a line segment, and m m. m 90 and. ind the measures of x and y. 103 x y 56 G 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 106 hapter 13 Put on Your Thinking ap!

2024 © sciencedocbox.com Privacy Policy | Terms of Service | Feedback