Pre-Test. 1. Analyze parallelogram ABCD. a. Rotate parallelogram ABCD 270 counterclockwise about the origin. Graph and label the image as
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1 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. Rotate parallelogram BD 90 counterclockwise about the origin. Graph and label the image as 0B00D0. Identif the verte coordinates of image 0B00D0. hapter ssessments 111
2 Pre-Test page. nalze the two triangles shown. M 1 N 1 O T U 1 S 1 a. Determine the transformation used to create triangle STU. b. Write a triangle congruence statement for the triangles shown. c. Identif the congruent angles and congruent sides of the triangles. 11 hapter ssessments
3 Pre-Test page 3 Name Date 3. nalze triangle XYZ X Z 1 Y a. alculate the length of each line segment forming the sides of triangle XYZ. hapter ssessments 113
4 Pre-Test page b. Translate triangle XYZ up 1 units to form triangle X9Y9Z9. Graph the image. Use the SSS ongruence Theorem to determine if the triangles are congruent. Eplain our reasoning.. Use the SS ongruence Theorem and a protractor to determine if triangle DEF is congruent to triangle KLM. Eplain our reasoning. 0 L D M K E F 11 hapter ssessments
5 Pre-Test page 5 Name Date 5. nalze the triangles shown. Q R P 0 G V H I X W a. Use the S ongruence Theorem and a protractor to determine if triangle GHI is congruent to triangle PQR. b. Use the S ongruence Theorem and a protractor to determine if triangle GHI is congruent to triangle VWX. hapter ssessments 115
6 Pre-Test page. omplete the construction. Then, use the diagram to complete the proof. a. omplete the following steps: Draw a line from point to an point on the edge of the circle, and label it D. onstruct a line perpendicular to D through point. Label its intersection with the circle as point E. onstruct a line perpendicular to E through point E. onstruct a line perpendicular to D through point D. B b. Given: E ' D D ' D E ' E Prove: nd > ne 11 hapter ssessments
7 Post-Test Name Date 1. nalze parallelogram DEFG. G F D E 0 a. Rotate parallelogram DEFG about the origin 10 counterclockwise. Graph and label the figure D9E9F9G9. Identif the verte coordinates of image D9E9F9G9. b. Rotate parallelogram DEFG about the origin 0 counterclockwise. Graph and label the figure D0E0F0G0. Identif the verte coordinates of image D0E0F0G0. hapter ssessments 11
8 Post-Test page. nalze the two triangles shown. X 0 Y 10 1 B Z 1 a. Determine the transformation used to create triangle XYZ. b. Write a triangle congruence statement for the triangles shown. c. Identif the congruent angles and congruent sides of the triangles. 11 hapter ssessments
9 Post-Test page 3 Name Date 3. nalze triangle JKL. J L K a. alculate the length of each line segment forming the sides of triangle JKL. hapter ssessments 119
10 Post-Test page b. Translate triangle JKL 10 units to the right to form triangle J9K9L9. Graph the image. Use the SSS ongruence Theorem to determine if the triangles are congruent. Eplain our reasoning.. Use the SS ongruence Theorem and a protractor to determine if triangle RST is congruent to triangle FGH. R T G S 0 H F 1150 hapter ssessments
11 Post-Test page 5 Name Date 5. nalze the triangles shown. O Q P B 0 V W U a. Use the S ongruence Theorem and a protractor to determine if triangle B is congruent to triangle OPQ. b. Use the S ongruence Theorem and a protractor to determine if triangle B is congruent to triangle UVW. hapter ssessments 1151
12 Post-Test page. omplete the construction. Then, use the diagram to complete the proof. a. omplete the following steps: Draw a line from point to a point D. Draw a line from point B to a point. Label the intersection of D and B as point G. onstruct the angle bisector of jgb. Label the intersection of the angle bisector with B as point E. Label the intersection of the angle bisector with D as point F. B D b. Given: B > D B i D EF bisects /GB Prove: Point G is the midpoint of EF. 115 hapter ssessments
13 Mid-hapter Test Name Date 1. nalze parallelogram RSTU. 1 1 R S U T a. Determine the verte coordinates of the image R9S9T9U9 if the pre-image is translated units left. Do not graph this image. b. Rotate parallelogram RSTU 90º clockwise about the origin. Label this image as R9S9T9U9. Identif the coordinates of the vertices of R9S9T9U9. c. Reflect R9S9T9U9 over the -ais. Label this image as R0S0T0U0. Describe how the coordinates of the vertices changed from R9S9T9U9. hapter ssessments 1153
14 Mid-hapter Test page. nalze the triangles shown. 10 B D E 0 10 K a. Triangle B was transformed to create triangle EDK. Describe the transformation used to create triangle EDK. b. Does the transformation preserve the size and shape of the triangle in this problem situation? Eplain our reasoning. c. Write a congruence statement for the triangles. Then, write congruence statements for the congruent sides and angles. 115 hapter ssessments
15 Mid-hapter Test page 3 Name Date 3. nalze triangle XYZ. Z Y 0 X 10 1 a. Determine the length of each line segment forming the sides of triangle XYZ. b. Reflect line segments XY, YZ, and ZX over the -ais to form triangle X9Y9Z9. alculate the lengths of triangle X9Y9Z9. c. Which congruenc theorem allows ou to conclude that triangle XYZ is congruent to triangle X9Y9Z9? State the theorem. hapter ssessments 1155
16 Mid-hapter Test page. nalze the triangles shown B9 9 0 B B a. Triangle B was transformed to create triangle 9B99. Determine the transformation used to form triangle 9B99. b. Triangle 9B99 was transformed to created triangle 0B00. Determine the transformation used to form triangle 0B00. c. Write a triangle congruence statement for triangle B and triangle 0B00. Then, use our congruence statement to identif the congruent angles. 115 hapter ssessments
17 End of hapter Test Name Date 1. nalze the triangles shown. F G H 0 F9 G9 H9 a. Use the SS ongruence Theorem and a protractor to determine if triangle FGH is congruent to triangle F9G9H9. b. Victoria sas that triangle FGH is reflected over the -ais to form triangle F9G9H9. She sas this means that the triangles are congruent, because reflections preserve the size and shape of a figure. Is Victoria correct? Tell wh or wh not. hapter ssessments 115
18 End of hapter Test page. Determine if there is enough information to prove that each pair of triangles are congruent b S or S. Write the congruence statements to justif our reasoning. a. nmpn >? nlpn M P N L b. nrtv >? nvsr T V R S 115 hapter ssessments
19 End of hapter Test page 3 Name Date c. nb >? nfgh 3 15 cm F 5 B G 5 15 cm 3 H 3. onstruct triangle JKL based on the triangle FGH as a countereample to show that ngle-side-side is not a valid triangle congruence theorem. Eplain our answer. F G H hapter ssessments 1159
20 End of hapter Test page. nalze the triangles shown. B D E 0 K a. Use the SS ongruence Theorem to determine if the two triangles are congruent. b. Steve determines that sides DK and B are congruent. He also measures /K and / and determines that the are congruent. He concludes that the triangles are congruent b the SS ongruence Theorem. Is Steve correct? Eplain our reasoning. 110 hapter ssessments
21 End of hapter Test page 5 Name Date 5. nalze the triangle shown. M T 0 D a. Determine the verte coordinates of image M9T9D9 if the triangle MTD is rotated 10º counterclockwise about the origin. How do the verte coordinates of triangle M9T9D9 relate to those of triangle MTD? b. Graph triangle M9T9D9 on the same coordinate plane. c. Use the S ongruence Theorem to prove triangle MTD is congruent to triangle M9T9D9. hapter ssessments 111
22 End of hapter Test page d. Using the information ou calculated in part (c), can ou conclude the triangles are congruent using another triangle congruence theorem? Eplain our reasoning.. Determine if there is enough information to prove each pair of triangles are congruent b SSS or SS. Write the congruence statements to justif our reasoning. a. nprt >? ntvp P 1 mm R 5 mm 5 mm V 1 mm T b. nxw >? nyz X Y W Z 11 hapter ssessments
23 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 113
24 Standardized Test Practice page. Which of the following figures is a countereample to show wh ngle-ngle-ngle is not a triangle congruence theorem? a. Given: BD is a parallelogram. Prove: Triangle BD is congruent to triangle DB. B b. Given: B i DE Prove: Triangle B is congruent to triangle DE. D B 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 11 hapter ssessments
25 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? B 0 D a. 9 (, ), B9 (5, ), 9 (3, ), D9 (3, ) b. 9 (, ), B9 (5, ), 9 (3, ), D9 (3, ) c. 9 (, ), B9 (5, ), 9 (3, ), D9 (3, ) d. 9 (, ), B9 (5, ), 9 (3, ), D9 (3, ). Which set of vertices describes a triangle congruent to nb? 0 B a. (, ), (, 1), (1, 1) b. (, ), (, 5), (, 5) c. (3, 3), (3, 9), (10, 9) d. (3, 1), (, 1), (, ) hapter ssessments 115
26 Standardized Test Practice page 5. 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 (, 3), G (, ), and H (3, 5). What are the coordinates of each verte if the triangle is reflected over the -ais? a. F9 (, 3), G9 (, ), H9 (3, 5) b. F9 (, 3), G9 (, ), H9 (3, 5) c. F9 (, 3), G9 (, ), H9 (3, 5) d. F9 (, 3), G9 (, ), H9 (3, 5) 11 hapter ssessments
27 Standardized Test Practice page 5 Name Date. What is a triangle congruence statement that applies to this figure? G R N 0 K W F a. RN > FK b. GN > WF c. RN > WK d. GN > FK. Determine what information is sufficient to prove that triangle B is congruent to triangle XYZ. X B Z Y a. B > XY, B > YZ, /B > /YZX b. > ZX, /B > /YXZ, B > ZY c. /B > /XYZ, B > YZ, /B > /YZX d. /B > /YXZ, /B > /XYZ, /B > /YZX hapter ssessments 11
28 Standardized Test Practice page 9. triangle has vertices at (, ), B (, 9), and (, 3). What are the coordinates of each verte if the triangle is translated units right and units down? a. 9 (11, 1), B9 (0, 15), 9 (, 3) b. 9 (11, 0), B9 (0, 3), 9 (, 9) c. 9 (3, 1), B9 (, 15), 9 (, 3) d. 9 (3, 0), B9 (, 3), 9 (, 9) 10. Which set of vertices describes a triangle congruent to nb? B 0 a. (, 5), (1, ), (, ) b. (5, ), (, 1), (, ) c. (, 5), (1, ), (, ) d. (, 5), (, 1), (, ) 11 hapter ssessments
29 Standardized Test Practice page Name Date 11. What are the coordinates of each verte if the figure is rotated 10 clockwise about the origin? B 0 D a. 9 (, ), B9 (5, ), 9 (3, ), D9 (3, ) b. 9 (, ), B9 (, 5), 9 (, 3), D9 (, 3) c. 9 (, ), B9 (, 5), 9 (, 3), D9 (, 3) d. 9 (, ), B9 (, 5), 9 (, 3), D9 (, 3) 1. 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 119
30 Standardized Test Practice page 13. What are the coordinates of each verte if the figure is reflected over the -ais? D B 0 a. 9 (, 1), B9 (5, ), 9 (, 5), D9 (3, 3) b. 9 (1, ), B9 (, 5), 9 (5, ), D9 (3, 3) c. 9 (1, ), B9 (5, ), 9 (, 5), D9 (3, 3) d. 9 (, 1), B9 (5, ), 9 (, 5), D9 (3, 3) 110 hapter ssessments
31 Standardized Test Practice page 9 Name Date 1. Which transformation would produce an image with vertices 9 (, ), B9 (9, ), 9 (9, )? 0 B a. a reflection over the -ais b. a reflection over the -ais c. a rotation 90 clockwise d. a rotation 90 counterclockwise hapter ssessments 111
32 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 11 hapter ssessments
33 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 113
34 Standardized Test Practice page 1 1. 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 11 hapter ssessments
35 Standardized Test Practice page 13 Name Date 19. What are the coordinates of each verte if the figure is translated 3 units right and units up? B 0 D a. 9 (0, 5), B9 (, ), 9 (, ), D9 (, 0) b. 9 (5, 0), B9 (1, 3), 9 (3, 1), D9 (1, 5) c. 9 (1, 0), B9 (5, 3), 9 (9, ), D9 (, 5) d. 9 (1, ), B9 (5, ), 9 (9, 5), D9 (, 1) hapter ssessments 115
36 Standardized Test Practice page 1 0. 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 11 hapter ssessments
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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 Standardized
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