Standardized Test Practice

Size: px
Start display at page:

Download "Standardized Test Practice"

Transcription

1 Standardized Test Practice Name Date 1. For which drawing can ou use the given information and the SSS ongruence Theorem to prove that the triangles are congruent? a. b. c. d. hapter ssessments 1323

2 Standardized Test Practice page 2 2. Which of the following figures is a countereample to show wh ngle-ngle-ngle is not a triangle congruence theorem? a. Given: D is a parallelogram. Prove: Triangle D is congruent to triangle D. b. Given: i DE Prove: Triangle is congruent to triangle DE. D D E c. Given: /GEH > /GFI. Triangle EFG is isosceles where /GEF > /EFG. Prove: Triangle EGH is congruent to triangle FGI. E F G H I d. Given: Triangle EFH is isosceles where /EFH > /EHF. Prove: Triangle EFG is congruent to triangle EHG. E H G F 13 hapter ssessments

3 Standardized Test Practice page 3 Name Date 3. What are the coordinates of each verte if the figure is rotated 90 counterclockwise about the origin? 2 D a. 9 (, 2), 9 (2, ), 9 (23, ), D9 (3, ) b. 9 (2, ), 9 (, 2), 9 (3, ), D9 (23, ) c. 9 (, ), 9 (2, 2), 9 (23, ), D9 (3, ) d. 9 (2, 2), 9 (, ), 9 (3, ), D9 (23, ). Which set of vertices describes a triangle congruent to n? 2 a. (, ), (, 1), (21, 1) b. (2, ), (, 2), (2, 2) c. (3, 23), (3, 29), (10, 29) d. (3, 1), (, 1), (, ) hapter ssessments 132

4 Standardized Test Practice page. Which set of congruence statements show that nrts > nvxw b the S ongruence Theorem? S T R W X V a. RT > VX /TSR > /XWV /STR > /WXV c. RT > VX /STR > /WXV /SRT > /WVX b. ST > _ WX /SRT > /WVX /RST > /VWX d. SR > _ WV /STR > /WXV /RST > /VWX. triangle has vertices at F (27, 3), G (2, ), and H (3, ). What are the coordinates of each verte if the triangle is reflected over the -ais? a. F9 (27, 23), G9 (2, ), H9 (3, 2) b. F9 (7, 23), G9 (, ), H9 (23, 2) c. F9 (7, 3), G9 (, ), H9 (23, ) d. F9 (27, 3), G9 (, ), H9 (23, 2) 13 hapter ssessments

5 Standardized Test Practice page Name Date 7. What is a triangle congruence statement that applies to this figure? G R N 2 K W F a. RN > FK b. _ GN > _ WF c. RN > _ WK d. _ GN > FK. Determine what information is sufficient to prove that triangle is congruent to triangle XYZ. X Z Y a. > XY, > YZ, / > /YZX b. > ZX, / > /YXZ, > ZY c. / > /XYZ, > YZ, / > /YZX d. / > /YXZ, / > /XYZ, / > /YZX hapter ssessments 1327

6 Standardized Test Practice page 9. triangle has vertices at (27, ), (, 9), and (, 23). What are the coordinates of each verte if the triangle is translated units right and units down? a. 9 (211, 12), 9 (0, 1), 9 (, 3) b. 9 (211, 0), 9 (0, 3), 9 (, 29) c. 9 (23, 12), 9 (, 1), 9 (2, 3) d. 9 (23, 0), 9 (, 3), 9 (2, 29) 10. Which set of vertices describes a triangle congruent to n? 2 a. (, 2), (21, 27), (, ) b. (, ), (27, 21), (2, ) c. (, 2), (1, 27), (, ) d. (, 2), (27, 21), (, ) 13 hapter ssessments

7 Standardized Test Practice page 7 Name Date 11. What are the coordinates of each verte if the figure is rotated 10 clockwise about the origin? 2 D a. 9 (, ), 9 (2, 2), 9 (23, ), D9 (3, ) b. 9 (2, ), 9 (, 2), 9 (, 23), D9 (, 3) c. 9 (, ), 9 (2, 2), 9 (, 23), D9 (, 3) d. 9 (2, 2), 9 (, ), 9 (, 3), D9 (, 23) 12. The image in this figure was formed b reflecting ndwt over the -ais. What is a congruence statement that describes these triangles? X L P T W D a. /X > /W b. /L > /D c. /W > /P d. /T > /X hapter ssessments 1329

8 Standardized Test Practice page 13. What are the coordinates of each verte if the figure is reflected over the -ais? 2 D a. 9 (, 21), 9 (2, ), 9 (, ), D9 (23, 3) b. 9 (21, ), 9 (, ), 9 (2, ), D9 (23, 3) c. 9 (21, ), 9 (2, ), 9 (, 2), D9 (23, 23) d. 9 (, 1), 9 (2, ), 9 (, ), D9 (3, 23) 1330 hapter ssessments

9 Standardized Test Practice page 9 Name Date 1. Which transformation would produce an image with vertices 9 (, ), 9 (9, ), 9 (9, )? 2 a. a reflection over the -ais b. a reflection over the -ais c. a rotation 90 clockwise d. a rotation 90 counterclockwise hapter ssessments 1331

10 Standardized Test Practice page Which set of congruence statements show that nrts > nvwx b the S ongruence Theorem? S T R W X V a. ST > _ WX /RST > /VWX /TRS > /XVW c. RT > VX /SRT > /WVX /STR > /WXV b. SR > _ WV /TRS > /XVW /TSR > /XWV d. ST > _ WX /RST > /VWX /RTS > /VXW 1332 hapter ssessments

11 Standardized Test Practice page 11 Name Date 1. Which set of congruence statements shows that nps > nrgm b the SS ongruence Theorem? S G P R M a. PS > RG P > RM _ /SP > /GRM c. P > RM _ S > MG _ /SP > /GRM b. PS > RG S > GM _ /SP > /GMR d. P > RM _ PS > RG /PS > /RMG hapter ssessments 1333

12 Standardized Test Practice page Which set of congruence statements shows that nknh > nvwf b the SS ongruence Theorem? N H K W F V a. KN > VW _ HN > FW _ /HKN > /FVW c. NK > WV _ NH > WF _ /KHN > /VFW b. NK > WV _ KH > VF /KNH > /VWF d. HN > FW _ HK > FV /KHN > /VFW 1. The image in this figure was formed b rotating ntnz 10 about the origin. What is a congruence statement that describes these triangles? M R N a. ntnz > nrm T Z b. ntnz > nrm c. ntnz > nmr d. ntnz > nrm 133 hapter ssessments

13 Standardized Test Practice page 13 Name Date 19. What are the coordinates of each verte if the figure is translated 3 units right and 2 units up? 2 D a. 9 (0, ), 9 (, ), 9 (, ), D9 (, 0) b. 9 (2, 0), 9 (21, 3), 9 (3, 1), D9 (1, 2) c. 9 (1, 0), 9 (, 3), 9 (9, 2), D9 (7, 2) d. 9 (1, ), 9 (, 7), 9 (9, ), D9 (7, 21) hapter ssessments 133

14 Standardized Test Practice page Which set of congruence statements show that nrts > nvxw b the SSS ongruence Theorem? S T R W X V a. TR > XV ST > WV _ RS > XW _ c. RT > VX TS > XW _ SR > WV _ b. RT > VW _ RS > VX ST > WX _ d. TR > WX _ RS > VW _ ST > XV 133 hapter ssessments

Pre-Test. 1. Analyze parallelogram ABCD. a. Rotate parallelogram ABCD 270 counterclockwise about the origin. Graph and label the image as

Pre-Test. 1. Analyze parallelogram ABCD. a. Rotate parallelogram ABCD 270 counterclockwise about the origin. Graph and label the image as Pre-Test Name Date 1. nalze parallelogram BD. D B 0 a. Rotate parallelogram BD 0 counterclockwise about the origin. Graph and label the image as 9B99D9. Identif the verte coordinates of image 9B99D9. b.

More information

Translating Triangles in the Coordinate Plane

Translating Triangles in the Coordinate Plane hapter Summar Ke Terms transformation congruent line segments (71) () image congruent (71) angles () translation corresponding (71) sides () rotation corresponding (73) angles () SSS ongruence Theorem

More information

QRS LMN. Name all pairs of congruent corresponding parts.

QRS LMN. Name all pairs of congruent corresponding parts. 5.6 Warm up Find the value of x. 1. 2. 55 0 40 0 x + 83 3. QRS LMN. Name all pairs of congruent corresponding parts. Decide whether enough information is given to prove that the triangles are congruent.

More information

Geometry. Chapter 3. Congruent Triangles Ways of Proving Triangles Corresponding Parts of Δ s (CP Δ=) Theorems Based on Δ s

Geometry. Chapter 3. Congruent Triangles Ways of Proving Triangles Corresponding Parts of Δ s (CP Δ=) Theorems Based on Δ s Geometry hapter 3 ongruent Triangles Ways of Proving Triangles orresponding Parts of Δ s (P Δ=) Theorems ased on Δ s Geometry hapter 3 ongruent Triangles Navigation: lick on sheet number to find that sheet.

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Name ate hapter 8 Maintaining Mathematical Proficiency Tell whether the ratios form a proportion. 1. 16, 4 12 2. 5 45, 6 81. 12 16, 96 100 4. 15 75, 24 100 5. 17 2, 68 128 6. 65 156, 105 252 Find the scale

More information

CHAPTER # 4 CONGRUENT TRIANGLES

CHAPTER # 4 CONGRUENT TRIANGLES HPTER # 4 ONGRUENT TRINGLES In this chapter we address three ig IES: 1) lassify triangles by sides and angles 2) Prove that triangles are congruent 3) Use coordinate geometry to investigate triangle relationships

More information

An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side. Page 1 of 9 Attendance Problems. 1. What are sides AC and BC called? Side AB? 2. Which side is between RA and? RC 3. Given VDEF and VGHI, if RD RG and RE RH, why is RF RI? I can apply ASA, AAS, and HL

More information

Geometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties

Geometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties Geometry efinitions, Postulates, and Theorems Key hapter 4: ongruent Triangles Section 4.1: pply Triangle Sum Properties Standards: 12.0 Students find and use measures of sides and of interior and exterior

More information

9.3 Properties of Rectangles, Rhombuses, and Squares

9.3 Properties of Rectangles, Rhombuses, and Squares Name lass Date 9.3 Properties of Rectangles, Rhombuses, and Squares Essential Question: What are the properties of rectangles, rhombuses, and squares? Resource Locker Explore Exploring Sides, ngles, and

More information

CHAPTER 7. Think & Discuss (p. 393) m Z m Z m Z 90 QR 2 RP 2 PQ 2 QR QR QR AB QR 7.

CHAPTER 7. Think & Discuss (p. 393) m Z m Z m Z 90 QR 2 RP 2 PQ 2 QR QR QR AB QR 7. HPTER 7 Think & Discuss (p. 393). The image in bo is flipped to get the image in bo. The image in bo is turned to get the image in bo D.. Sample answer: If ou look at the picture as a whole, the right

More information

Chapter 4. Section 4-1. Classification by Angle. Acute Triangle - a triangle with 3 acute angles!

Chapter 4. Section 4-1. Classification by Angle. Acute Triangle - a triangle with 3 acute angles! hapter 4 ongruent Triangles That is water, not cement Section 4-1 lassifying Triangles lassification by ngle cute Triangle - a triangle with 3 acute angles! Equiangular Triangle - a triangle with 3 congruent

More information

Reteach. Congruence and Transformations

Reteach. Congruence and Transformations Congruence and Transformations TYPES OF TRANSFORMATIONS (centered at (0, 0)) Translation (slide): (x, y) (x a, y b) Reflection y-axis: (x, y) ( x, y) x-axis: (x, y) (x, y) Rotation 90 clockwise: (x, y)

More information

Reteaching Exploring Angles of Polygons

Reteaching Exploring Angles of Polygons Name Date lass Eploring Angles of Polygons INV X 3 You have learned to identify interior and eterior angles in polygons. Now you will determine angle measures in regular polygons. Interior Angles Sum of

More information

4-7 Study Guide and Intervention Congruence Transformations

4-7 Study Guide and Intervention Congruence Transformations 4-7 Study Guide and Intervention Congruence Transformations Identify Congruence Transformations A congruence transformation is a transformation where the original figure, or preimage, and the transformed

More information

CST Geometry Practice Problems

CST Geometry Practice Problems ST Geometry Practice Problems. Which of the following best describes deductive reasoning? using logic to draw conclusions based on accepted statements accepting the meaning of a term without definition

More information

41. What is the value of x? 19 57 52 71 42. Find the value of s. 23 34 28 56 43. A and B are the remote interior angles of BCD in ABC. Which of these equations must be true? m A - 180 = m B m A = 90 -

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 ate Glass Lanterns Introduction to ongruence Vocabulary Identify all parts of the figure that are described by the given term. F E 1. corresponding angles

More information

Proving Lines Parallel

Proving Lines Parallel Proving Lines Parallel Proving Triangles ongruent 1 Proving Triangles ongruent We know that the opposite sides of a parallelogram are congruent. What about the converse? If we had a quadrilateral whose

More information

WorkSHEET: Deductive geometry I Answers Name:

WorkSHEET: Deductive geometry I Answers Name: Instructions: Go through these answers to the three work sheets and use them to answer the questions to Test A on Deductive Geometry as your holiday homework. Hand this test to Mr Fernando when you come

More information

CCM2 Unit 1 NC Final Exam Review page 1

CCM2 Unit 1 NC Final Exam Review page 1 1. What is the image of point after a rotation of 90 in the counterclockwise direction? G E F H C 4. Select the letters that would appear the same after a 180 rotation about the center. I. II. X III. O

More information

Worksheet Congruent Triangles Date HR

Worksheet Congruent Triangles Date HR Geometry Worksheet ongruent Triangles NME Date HR a) Determine whether the following triangles are congruent. b) If they are, name the triangle congruence (pay attention to proper correspondence when naming

More information

Name Class Date. This shows that A corresponds to Q. Therefore, A Q. This shows that BC corresponds to RS. Therefore, BC RS.

Name Class Date. This shows that A corresponds to Q. Therefore, A Q. This shows that BC corresponds to RS. Therefore, BC RS. ame lass ate Reteaching ongruent igures Given QRST, find corresponding parts using the names. Order matters. or example, QRST or example, QRST This shows that corresponds to Q. Therefore, Q. This shows

More information

4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary

4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary 4-1 Classifying Triangles What You ll Learn Scan Lesson 4-1. Predict two things that you expect to learn based on the headings and the Key Concept box. 1. Active Vocabulary 2. New Vocabulary Label the

More information

Honors Geometry Semester 1 Exam Review. Hour: CB and CA are opposite rays and CD and CA. Show all your work whenever possible.

Honors Geometry Semester 1 Exam Review. Hour: CB and CA are opposite rays and CD and CA. Show all your work whenever possible. Honors Geometry Semester 1 Exam Review Name: Hour: Show all your work whenever possible 1escribe what the notation RS stands for Illustrate with a sketch 8 Find the distance between the points (1, 4) and

More information

Congruent Triangles. 1. In the accompanying diagram, B is the midpoint of

Congruent Triangles. 1. In the accompanying diagram, B is the midpoint of ongruent Triangles Name: ate: 1. In the accompanying diagram, is the midpoint of,, E, and = E. Which method of proof may be used to prove = E?. SS = SS. S = S. HL = HL. S = S 4. In the accompanying diagram

More information

Foundations of Math 2: Review for Benchmark #3 Foundations of Math 2

Foundations of Math 2: Review for Benchmark #3 Foundations of Math 2 Foundations of Math 2: Review for enchmark #3 Foundations of Math 2 Name: ate: 1. Which of the following is not a proper way to name the angle shown below? 4. The diagram below shows angles formed by intersecting

More information

Section 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts

Section 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts Congruent Polygons Congruent Polygons have congruent corresponding parts Congruent sides Congruent Angles

More information

Whenever two figures have the same size and shape, they are called congruent. Triangles ABC and DEF are congruent. You can match up vertices like

Whenever two figures have the same size and shape, they are called congruent. Triangles ABC and DEF are congruent. You can match up vertices like Unit 1: orresponding Parts in a ongruence Section 1: ongruent Figures Whenever two figures have the same size and shape, they are called congruent. F D E Triangles and DEF are congruent. You can match

More information

Congruent triangles have congruent sides and congruent angles. The parts of congruent triangles that match are called corresponding parts.

Congruent triangles have congruent sides and congruent angles. The parts of congruent triangles that match are called corresponding parts. Congruent triangles have congruent sides and congruent angles. The parts of congruent triangles that match are called corresponding parts. A ABC DFE D B C E F AB BC DF FE A D B F C E AC DE TO PROVE TRIANGLES

More information

Chapter 4 Answers. Practice m 1 = 110; m 2 = m 3 = 90; m 4 = m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90

Chapter 4 Answers. Practice m 1 = 110; m 2 = m 3 = 90; m 4 = m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90 Pearson ducation, Inc., publishing as Pearson Prentice all. ll rights reserved. hapter 4 nswers Practice 4-1 1. m 1 = 110; m 2 = 120 2. m 3 = 90; m 4 = 135 3. m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90 4.

More information

Geometry Review. Description. Question #1. Question #2. Question #3. ΔDEC by ASA? 5/17/2017 Synergy TeacherVUE. Geometry CSA Review

Geometry Review. Description. Question #1. Question #2. Question #3. ΔDEC by ASA? 5/17/2017 Synergy TeacherVUE. Geometry CSA Review escription Geometry S Review Geometry Review Question #1 If Δ and ΔXYZ are congruent, which of the following statements below is not true? ngle and angle Y are congruent. ngle and angle ZXY are congruent.

More information

Investigation 1 7. Tell whether the design has reflection symmetry. If it does, sketch the design and draw all the lines of symmetry.

Investigation 1 7. Tell whether the design has reflection symmetry. If it does, sketch the design and draw all the lines of symmetry. Selected E: Kaleidoscopes, Hubcaps, Mirrors Investigation 1: #7, 14, 28 Investigation 2: #9 Investigation 3: #6, 16 Investigation 4: #10, 14, 18 Investigation 5: #5, 9, 11, 15. E Problem Investigation

More information

Geometry Rules! Chapter 4 Notes. Notes #22: Section 4.1 (Congruent Triangles) and Section 4.5 (Isosceles Triangles)

Geometry Rules! Chapter 4 Notes. Notes #22: Section 4.1 (Congruent Triangles) and Section 4.5 (Isosceles Triangles) Name: Geometry Rules! hapter 4 Notes - 1 - Period: Notes #: Section 4.1 (ongruent Triangles) and Section 4.5 (Isosceles Triangles) ongruent Figures orresponding Sides orresponding ngles Triangle ngle-sum

More information

A proportion is an equation that two ratios are equal. For example, See the diagram. a. Find the ratio of AE to BE.

A proportion is an equation that two ratios are equal. For example, See the diagram. a. Find the ratio of AE to BE. Section 1: Ratio and Proportion The ratio of a to b means a/b. For example, the ratio of 4 to 6 (or 4:6) is ; the ratio of x to y (or x:y) is proportion is an equation that two ratios are equal. For example,

More information

Unit 4 Day by Day. Day Sections and Objectives Homework. Monday October and 4.9 Packet Pages 1-3

Unit 4 Day by Day. Day Sections and Objectives Homework. Monday October and 4.9 Packet Pages 1-3 Unit 4 ay by ay ay Sections and Objectives Homework Monday October 26 U41 4.2 and 4.9 Packet Pages 1-3 Types of triangles, isosceles and equilateral triangles Page 228 (23-31, 35-37) Page 288 (5-10, 17-20,

More information

Unit 5b/Chapter 6: Similarity Name: Block:

Unit 5b/Chapter 6: Similarity Name: Block: Unit 5b/hapter 6: Similarity Name: lock: 1 2 3 4 5 6 7 8 SOL G.7 The student, given information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate

More information

Geometry Honors Semester 1

Geometry Honors Semester 1 Geometry Honors Semester 1 Final Exam Review 2017-2018 Name: ate: Period: Formulas: efinitions: 1. Slope - 1. omplementary 2. Midpoint - 2. Supplementary 3. isect 3. istance - 4. Vertical ngles 4. Pythagorean

More information

Unit 2: Triangles and Quadrilaterals Lesson 2.1 Apply Triangle Sum Properties Lesson 4.1 from textbook

Unit 2: Triangles and Quadrilaterals Lesson 2.1 Apply Triangle Sum Properties Lesson 4.1 from textbook Unit 2: Triangles and Quadrilaterals Lesson 2.1 pply Triangle Sum Properties Lesson 4.1 from textbook Objectives Classify angles by their sides as equilateral, isosceles, or scalene. Classify triangles

More information

Answer Key. 1.1 Basic Geometric Definitions. Chapter 1 Basics of Geometry. CK-12 Geometry Concepts 1

Answer Key. 1.1 Basic Geometric Definitions. Chapter 1 Basics of Geometry. CK-12 Geometry Concepts 1 1.1 Basic Geometric Definitions 1. WX, XW, WY, YW, XY, YX and line m. 2. Plane V, Plane RST, Plane RTS, Plane STR, Plane SRT, Plane TSR, and Plane TRS. 3. 4. A Circle 5. PQ intersects RS at point Q 6.

More information

G8-11 Congruence Rules

G8-11 Congruence Rules G8-11 Congruence Rules Pages 99 101 Standards: 8.G..2 Goals: Students will develop and use rules for congruence of triangles. Prior Knowledge Required: Can measure angles and sides of polygons Is familiar

More information

Name: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra

Name: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.

More information

History of Mathematics

History of Mathematics History of Mathematics Paul Yiu Department of Mathematics Florida tlantic University Spring 2014 1: Pythagoras Theorem in Euclid s Elements Euclid s Elements n ancient Greek mathematical classic compiled

More information

Geometry Honors. Midterm Review

Geometry Honors. Midterm Review eometry Honors Midterm Review lass: ate: I: eometry Honors Midterm Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1 What is the contrapositive of the

More information

3. (9x + 9) x 45 5x. 5. (7x + 6)

3. (9x + 9) x 45 5x. 5. (7x + 6) 5 hapter eview 5.1 ngles of riangles (pp. 231 238) ynamic Solutions available at igideasath.com lassify the triangle by its sides and by measuring its angles. he triangle does not have any congruent sides,

More information

a) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular.

a) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular. Geometry Unit 2 Exam Review Name: 1. Triangles ABC and PQR are congruent. Which statement about the triangles is true? a) A R b) C R c) AB RQ d) CB PQ 2. Which figure contains two congruent triangles?

More information

Investigation: Congruent Figures using Transformations

Investigation: Congruent Figures using Transformations Investigation: ongruent Figures using Transformations In middle school, you were introduced to concepts about congruence. You learned that a figure is congruent to another if the second can be obtained

More information

T x Identify E the pairs of congruent corresponding angles and the corresponding sides.

T x Identify E the pairs of congruent corresponding angles and the corresponding sides. 7.1 Similar Figures If 2 figures are similar then: (1) ORRESPONING NGLES RE (2) ORRESPONING SIES RE THE REUE RTIO OF 2 ORR. SIES IS LLE THE. IF 2 FIGURES RE SIMILR, THEN THE RTIO OF THEIR IS = TO THE.

More information

Geo Final Review 2014

Geo Final Review 2014 Period: ate: Geo Final Review 2014 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. n angle measures 2 degrees more than 3 times its complement. Find the

More information

Mathematics II Resources for EOC Remediation

Mathematics II Resources for EOC Remediation Mathematics II Resources for EOC Remediation G CO Congruence Cluster: G CO.A.3 G CO.A.5 G CO.C.10 G CO.C.11 The information in this document is intended to demonstrate the depth and rigor of the Nevada

More information

Practice Test - Chapter 4. Classify each triangle as acute, equiangular, obtuse, or right.

Practice Test - Chapter 4. Classify each triangle as acute, equiangular, obtuse, or right. Classify each triangle as acute, equiangular, obtuse, or right. 1. Since has three congruent sides, it has three congruent angles. Therefore it is equiangular (and equilateral). 2. is a right triangle,

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Name ate hapter 5 Maintaining Mathematical Proficiency Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. 1. ( 3, 1 ) and ( 5,

More information

Slide, Flip, Turn: The Latest Dance Craze?

Slide, Flip, Turn: The Latest Dance Craze? Lesson.1 Skills Practice Name Date Slide, Flip, Turn: The Latest Dance Craze? Translating, Rotating, and Reflecting Geometric Figures Vocabular Match each definition to its corresponding term. 1. rotation

More information

2ft. 2yd. a, 6 days:15 days can be written as the fraction

2ft. 2yd. a, 6 days:15 days can be written as the fraction For use with pages 357-3B3 ratio is a comparison of a number a and a nonzero number b using division. n equation that states that two ratios are equal is called a proportion. In the proportion a ~ = c

More information

1. What is the sum of the measures of the angles in a triangle? Write the proof (Hint: it involves creating a parallel line.)

1. What is the sum of the measures of the angles in a triangle? Write the proof (Hint: it involves creating a parallel line.) riangle asics irst: Some basics you should already know. eometry 4.0 1. What is the sum of the measures of the angles in a triangle? Write the proof (Hint: it involves creating a parallel line.) 2. In

More information

Similarity and Congruence EOC Assessment (35%)

Similarity and Congruence EOC Assessment (35%) 1. What term is used to describe two rays or two line segments that share a common endpoint? a. Perpendicular Lines b. Angle c. Parallel lines d. Intersection 2. What is a term used to describe two lines

More information

7. 5 Congruent Triangles to the Rescue

7. 5 Congruent Triangles to the Rescue 27 7. 5 Congruent Triangles to the Rescue CC BY Anders Sandberg https://flic.kr/p/3gzscg Part 1 A Practice Understanding Task Zac and Sione are exploring isosceles triangles triangles in which two sides

More information

Geometry Honors. Midterm Review

Geometry Honors. Midterm Review eometry onors Midterm Review lass: ate: eometry onors Midterm Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1 What is the contrapositive of the statement

More information

Stop signs would be examples of congruent shapes. Since a stop sign has 8 sides, they would be congruent octagons.

Stop signs would be examples of congruent shapes. Since a stop sign has 8 sides, they would be congruent octagons. hapter 5 ongruence Theorems -! s In math, the word congruent is used to describe objects that have the same size and shape. When you traced things when you were a little kid, you were using congruence.

More information

Show all of your work on a separate sheet of paper. No work = no credit! Section 4.1: Triangle and Congruency Basics Find m

Show all of your work on a separate sheet of paper. No work = no credit! Section 4.1: Triangle and Congruency Basics Find m Name: Period: Unit 4: Triangles Show all of your work on a separate sheet of paper. No work = no credit! Section 1: Triangle and Congruency Basics Find m Geometry Homework 2. 3. Find the value of the variables

More information

Geometry Unit 4a - Notes Triangle Relationships

Geometry Unit 4a - Notes Triangle Relationships Geometry Unit 4a - Notes Triangle Relationships This unit is broken into two parts, 4a & 4b. test should be given following each part. Triangle - a figure formed by three segments joining three noncollinear

More information

STUDY GUIDE REVIEW Similarity and Transformations. 8 y

STUDY GUIDE REVIEW Similarity and Transformations. 8 y MODUL Study Guide Review SSSSMNT ND INTRVNTION ssign or customize module reviews. STUDY GUID RVIW Similarity and Transformations ssential Question: How can you use similarity and transformations to solve

More information

B M. and Quad Quad MNOP

B M.  and Quad Quad MNOP hapter 7 ongruence Postulates &Theorems -Δ s In math, the word congruent is used to describe objects that have the same size and shape. When you traced things when you were a little kid, you were using

More information

Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9)

Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Name: Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane BAC

More information

Chapter 6 REVIEW. 1. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?

Chapter 6 REVIEW. 1. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram? hapter 6 REVIEW Name: Multiple hoice Identif the choice that best completes the statement or answers the question. 1. Which statement can ou use to conclude that quadrilateral XYZW is a parallelogram?

More information

Geometry Rules! Chapter 4 Notes. Notes #20: Section 4.1 (Congruent Triangles) and Section 4.4 (Isosceles Triangles)

Geometry Rules! Chapter 4 Notes. Notes #20: Section 4.1 (Congruent Triangles) and Section 4.4 (Isosceles Triangles) Geometry Rules! hapter 4 Notes Notes #20: Section 4.1 (ongruent Triangles) and Section 4.4 (Isosceles Triangles) ongruent Figures orresponding Sides orresponding ngles *** parts of triangles are *** Practice:

More information

Geometry Chapter 5 Review Sheet

Geometry Chapter 5 Review Sheet Geometry hapter 5 Review Sheet Name: 1. List the 6 properties of the parallelogram. 2. List the 5 ways to prove that a quadrilateral is a parallelogram. 3. Name two properties of the rectangle that are

More information

Homework Worksheets: Chapter 7 HW#36: Problems #1-17

Homework Worksheets: Chapter 7 HW#36: Problems #1-17 Homework Worksheets: Chapter 7 HW#36: Problems #1-17 1.) Which of the following in an eample of an undefined term:. ray B. segment C. line D. skew E. angle 3.) Identify a countereample to the given statement.

More information

7 or 1.17 as your ratio of the lengths when

7 or 1.17 as your ratio of the lengths when .5. What id You Learn? ore Vocabular directed line segment, p. 50 ore oncepts Section.5 Side-Side-Side (SSS) Similarit heorem, p. 9 Side-ngle-Side (SS) Similarit heorem, p. 9 Section. riangle Proportionalit

More information

Given the following information about rectangle ABCD what triangle criterion will you use to prove ADC BCD.

Given the following information about rectangle ABCD what triangle criterion will you use to prove ADC BCD. A B D Given the following information about rectangle ABCD what triangle criterion will you use to prove ADC BCD. ADC and BCD are right angles because ABCD is a rectangle ADC BCD because all right angles

More information

Lincoln Public Schools GEOMETRY REVIEW - Semester One CALCULATOR Revised 12/2007

Lincoln Public Schools GEOMETRY REVIEW - Semester One CALCULATOR Revised 12/2007 Lincoln Public chools GOMY VIW - emester One LULO evised /007. escribe the lines in the sketch.. coplanar and intersecting. coplanar and nonintersecting. noncoplanar and intersecting. noncoplanar and nonintersecting.

More information

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 5: Congruent Triangles Instruction

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 5: Congruent Triangles Instruction Prerequisite Skills This lesson requires the use of the following skills: understanding that rigid motions maintain the shape and size of angles and segments, and that rigid motions include the transformations

More information

CHAPTER 5 RELATIONSHIPS WITHIN TRIANGLES

CHAPTER 5 RELATIONSHIPS WITHIN TRIANGLES HPTR 5 RLTIONSHIPS WITHIN TRINGLS In this chapter we address three ig IS: 1) Using properties of special segments in triangles ) Using triangle inequalities to determine what triangles are possible 3)

More information

C. ( 5, 0) D. ( 4, 1) Which statement is correct?

C. ( 5, 0) D. ( 4, 1) Which statement is correct? MAFS.912.G-SRT.1.1 1. Dilations are used to get films to fit onto a movie screen as shown below. 3. The circle shown in the coordinate plane below is the preimage under a dilation centered at the origin

More information

There are three ways to classify triangles based on sides

There are three ways to classify triangles based on sides Unit 4 Notes: Triangles 4-1 Triangle ngle-sum Theorem ngle review, label each angle with the correct classification: Triangle a polygon with three sides. There are two ways to classify triangles: by angles

More information

Chapter 1. Euclid s Elements, Book I (constructions)

Chapter 1. Euclid s Elements, Book I (constructions) hapter 1 uclid s lements, ook I (constructions) 102 uclid s lements, ook I (constructions) 1.1 The use of ruler and compass uclid s lements can be read as a book on how to construct certain geometric figures

More information

Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º.

Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. No-Choice Theorem If two

More information

Congruence Transformations and Triangle Congruence

Congruence Transformations and Triangle Congruence ongruence Transformations and Triangle ongruence Truss Your Judgment Lesson 11-1 ongruent Triangles Learning Targets: Use the fact that congruent triangles have congruent corresponding parts. etermine

More information

Study Guide - Chapter 6

Study Guide - Chapter 6 8 th Grade Name Date Period Study Guide - Chapter 6 1) Label each quadrant with I, II, III, or IV. 2) Use your knowledge of rotations to name the quadrant that each point below will land in after the rotation

More information

TEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about

TEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about TEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about the properties and attributes of polygons and their

More information

Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size

Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size 2) Under a certain transformation, A B C is the image of ABC.

More information

Geometry Notes - Unit 4 Congruence

Geometry Notes - Unit 4 Congruence Geometry Notes - Unit 4 ongruence Triangle is a figure formed by three noncollinear points. lassification of Triangles by Sides Equilateral triangle is a triangle with three congruent sides. Isosceles

More information

Congruence and Similarity in Triangles. INVESTIGATE the Math. as shown in Colin s design. Explain how you know they are similar.

Congruence and Similarity in Triangles. INVESTIGATE the Math. as shown in Colin s design. Explain how you know they are similar. 7.1 ongruence and Similarity in Triangles YOU WILL N dynamic geometry software, or ruler and protractor GOL Investigate the relationships between corresponding sides and angles in pairs of congruent and

More information

LA_EastBatonRouge CCSS Geometry Practice Test

LA_EastBatonRouge CCSS Geometry Practice Test East aton Rouge ssessment SS Math High School I: 204679 Teacher Edition L_EastatonRouge SS Geometry Practice Test irections: Read the question. Fill in the bubble next to the corresponding question number

More information

Congruent Triangles Triangles. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry. McDougal Geometry

Congruent Triangles Triangles. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry. McDougal Geometry Triangles Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. Name all sides and angles of FGH. FG, GH, FH, F, G, H 2. What is true about K and L? Why? ;Third s Thm. 3. What

More information

GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET

GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET Name Date Class GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical

More information

Ch 4 Review Problems pp #7 36, 48,51,52 due MONDAY 12/12

Ch 4 Review Problems pp #7 36, 48,51,52 due MONDAY 12/12 Geometry 4.4 4.6 ongruence Proofs ecember 08, 2016 h 4 Review Problems pp.176 180 #7 36, 48,51,52 due MONY 12/12 h 5 Review Problems pp. 206 209 #15 50 h 6 Review Problems pp. 250 254 #9 19, 33 53 4.2

More information

Circles - Probability

Circles - Probability Section 10-1: Circles and Circumference SOL: G.10 The student will investigate and solve practical problems involving circles, using properties of angles, arcs, chords, tangents, and secants. Problems

More information

Angles of Polygons Concept Summary

Angles of Polygons Concept Summary Vocabulary and oncept heck diagonal (p. 404) isosceles trapezoid (p. 439) kite (p. 438) median (p. 440) parallelogram (p. 411) rectangle (p. 424) rhombus (p. 431) square (p. 432) trapezoid (p. 439) complete

More information

Geometry. Congruent Triangles. Unit 4. Name:

Geometry. Congruent Triangles. Unit 4. Name: Geometry Unit 4 Congruent Triangles Name: 1 Geometry Chapter 4 Congruent Triangles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (4-1)

More information

9-1. Translations. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary

9-1. Translations. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary 9- Translations Vocabular Review. Underline the correct word to complete the sentence. If two triangles are congruent, corresponding angle measures are the same/ different and corresponding side lengths

More information

Chapter 4 part 1. Congruent Triangles

Chapter 4 part 1. Congruent Triangles Chapter 4 part 1 Congruent Triangles 4.1 Apply Triangle Sum Properties Objective: Classify triangles and find measures of their angles. Essential Question: How can you find the measure of the third angle

More information

Chapter 4: Congruent Triangles

Chapter 4: Congruent Triangles Name : Date Block # Chapter 4: Congruent Triangles Day Topic ssignment all dates are subject to change 1 1 Triangle ngle-sum Theorem pg 221 # 14-28 even 32-34 2- Congruent Figures pg 228 #5-11,26 2 Quiz

More information

Chapter 4 Triangles Overview

Chapter 4 Triangles Overview Chapter 4 Triangles Overview Ohio State Standards for Mathematics: G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding

More information

Geometry Spring Semester Review

Geometry Spring Semester Review hapter 5 Geometry Spring Semester Review 1. In PM,. m P > m. m P > m M. m > m P. m M > m P 7 M 2. Find the shortest side of the figure QU. Q Q 80 4. QU. U. 50 82 U 3. In EFG, m E = 5 + 2, m F = -, and

More information

Transformations and Congruence Test 2 Review

Transformations and Congruence Test 2 Review Transformations and Congruence Test 2 Review 1.To understand the different transformations: Be able to define and understand transformations (rotation, reflection, dilation, translation, glide reflection,

More information

Vocabulary. Term Page Definition Clarifying Example base angle of a trapezoid. base of a trapezoid. concave (polygon) convex (polygon)

Vocabulary. Term Page Definition Clarifying Example base angle of a trapezoid. base of a trapezoid. concave (polygon) convex (polygon) HPTER 6 Vocabulary The table contains important vocabulary terms from hapter 6. s you work through the chapter, fill in the page number, definition, and a clarifying example. Term Page efinition larifying

More information

Lesson 22: Congruence Criteria for Triangles SAS

Lesson 22: Congruence Criteria for Triangles SAS Student Outcomes Students learn why any two triangles that satisfy the SAS congruence criterion must be congruent. Lesson Notes In, we begin to investigate criteria, or the indicators, of triangle congruence.

More information

3. 4. fraction can not be the length of the third side?

3. 4. fraction can not be the length of the third side? Name: Teacher: Mrs. Ferry 1. 2 In the construction shown below, is drawn. 3. 4 If two sides of a triangle have lengths of and, which fraction can not be the length of the third side? 1. 2. 3. 4. In ABC,

More information

Translation. Reflection Over a line Answers will vary YES NO YES NO. Rotation. Dilation. Name KEY Per Date. Geometry Review Qtr4, Lessons 1 2

Translation. Reflection Over a line Answers will vary YES NO YES NO. Rotation. Dilation. Name KEY Per Date. Geometry Review Qtr4, Lessons 1 2 Geometry Review Qtr4, Lessons 1 2 Name KEY Per Date Transformations 1. Complete the table below. Important Features Transformation

More information

Name Class Date. This shows that A corresponds to Q. Therefore, A Q. This shows that BC corresponds to RS. Therefore, BC RS.

Name Class Date. This shows that A corresponds to Q. Therefore, A Q. This shows that BC corresponds to RS. Therefore, BC RS. Name lass ate eteaching ongruent igures iven, find corresponding parts using the names. rder matters. or example, or example, his shows that corresponds to. herefore,. his shows that corresponds to. herefore,.

More information