Cumulative Test 1. Name Date. In Exercises 1 5, use the diagram at the right. Answers

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1 Name Date umulative Test In Eercises 5, use the diagram at the right.. Name the intersection of D. E. 2. Name the intersection of plane D and plane E. 3. re points,, and D collinear? re points E,, and D coplanar? 5. Name two planes that intersect at E. D In Eercises 6 and 7, the endpoints of a segment are given. Find the length of the segment rounded to the nearest tenth. Then find the coordinates of the midpoint of the segment. 6. (23, 4) and (, 28) 7. F(26, 27) and G(5, 23) lassif the polgon b the number of sides. Tell whether the polgon is equilateral, equiangular, or regular opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. Write the net three numbers in the pattern , 768, 92, 48,.... 6, 4, 0, 26, Write the contrapositive of the conditional statement enators are politicians. Is the statement true or false? Use the propert to complete the statement. 3. mmetric Propert of Equalit: If m G 5 m H, then?. 4. Transitive Propert of ongruence: If > D, and? >?, then > E. Find the values of and (8 7)8 98 (7 0)8 (0 2 25) Geometr ssessment ook 9

2 Name Date umulative Test continued lassif the angle pair as corresponding, alternate interior, alternate eterior, or consecutive interior angles and and and and 9 2. and and Is there enough information to prove piq? If so, state the postulate or theorem ou would use. 23. p q 24. p q r r s 23. Find the slope of the line that passes through the points. 25. (24, 22), (2, 6) 26. (23, 7), (, 25) 27. (8, ), (25, 0) Write an equation of the line with the given slope m and -intercept b. 28. m 5 22, b m 5 4, b m 5 5 } 6, b 5 2 Graph the equation Find m opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved Geometr ssessment ook

3 Name Date umulative Test continued Find the measure of the numbered angle Identif the transformation(s) ou can use to move figure onto figure Q opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate or theorem ou would use. 44. D 46. P Q Find the values of and R (5 3)8 45. G F J 47. T 48 V 50. U H (7 2)8 Geometr ssessment ook 93

4 Name Date umulative Test continued Find the value of. 5. Q P U ( 7) T (3 23)8 Is it possible to construct a triangle with the given side lengths? 53., 7, , 32, , 2, In the diagram, PQR, WXYZ. 56. Find the scale factor of PQR to WXYZ. 57. Find the values of,, and z. R W 2 X Q 8 88 P Z z Y Determine whether the two triangles are similar. If the are similar, write a similarit statement. 58. D 2 28 E 3.5 F P R 868 Using the map shown, find the given distance. 60. along Lewis venue from 80th treet to 8st treet 6. along Lewis venue from 8st treet to 82nd treet 0 Q 80 th t. 20 d U st t. 385 d Lewis ve nd t. 00 d T 62. opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. 62. telephone pole casts a shadow that is 90 feet long. Mack, who is standing nearb, is 6 feet tall and casts a shadow that is 8 feet long. How tall is the telephone pole? 94 Geometr ssessment ook

5 Name Date hapter 7 2 umulative Test 2 Find the unknown side length of the right triangle Find the value of each variable. Write our answers in simplest radical form You are measuring the height of a Ferris wheel at an amusement park. You are standing 25 feet from its base. You measure the angle of elevation from a point on the ground to the top of the Ferris wheel to be 58. Estimate the height of the Ferris wheel. Round our answer to the nearest foot opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. olve the right triangle. Round decimal answers to the nearest tenth Find the indicated measure. F H 678. m PQ 2. XV P 0 T 25 G 0. R 20 P 498 Y X R V Z 7 5 W What are the measures of an interior angle and an eterior angle of a regular 30-gon? Geometr ssessment ook 9

6 Name Date hapter 7 2 umulative Test 2 continued Find the value of The vertices of n XYZ are X(2, 4), Y(3, 4), and Z(2, ). Translate n XYZ using the given vector. Graph its image , 0 8., dd, subtract, or multipl. 9. F G F G 20. f8 26 4g 2 f g 2. f9 5gF 24 6G 22. F GF G Find the image matri that represents the polgon after a reflection in the given line ais J F H G opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. 92 Geometr ssessment ook

7 Name Date hapter 7 2 umulative Test 2 continued The vertices of n TU are (, 22), T(5, 22), and U(, 24). Find the coordinates of the image of n TU after a composition of the transformations in the order the are listed. 25. Translation: (, ) ( 2, 4) Reflection: in the -ais 26. Translation: (, ) ( 2 3, 2 ) Rotation: 908 about the origin Decide whether the figure has line smmetr and/or rotational smmetr. Identif the number of lines of smmetr and/or the rotations that map the figure onto itself opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. Find the image matri that represents a dilation of the polgon centered at the origin with the given scale factor. 30. F G ; k F Find the value of each variable J M K L 33. G F G ; k 5 3 } J T W 58 H (5 2 )8 ( 9)8 Write the standard equation of the circle with the given center and radius. 36. enter (0, 23), radius enter (22, 6), radius 38. Give an equation of a line that does not intersect the circle described b the equation ( 2 ) 2 ( 2) V U Geometr ssessment ook 93

8 Name Date hapter 7 2 umulative Test 2 continued Find the surface area of the figure. Round our answer to two decimal places, if necessar d Find the indicated measure. 40. ircumference of (P 4. m T P.5 ft 58 T m P R Find the volume of the figure. Round our answers to two decimal places, if necessar cm d 5 cm m in. 48 in. 46. Find the volume of the silo shown at the right. Round our answer to two decimal places. 47. Two rectangular prisms have a scale factor of 3 : 4. The smaller rectangular prism has a surface area of 2,582 square meters. Find the surface area of the larger rectangular prism. 89 d 20 ft 68 ft opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. 48. Two right cones have a scale factor of : 5. The larger cone has a volume of 875π cubic feet. Find the volume of the smaller cone. 94 Geometr ssessment ook

9 umulative Test. point D 3. no 4. es 5. plane ED and plane E ; (2, 22) 7..7; 2 } 2, decagon, equilateral 9. quadrilateral, equilateral 0. 2, 3, , 224, If ou are not a politician, then ou are not a senator.; true 3. m H 5 m G 4. D > E , , alternate interior 8. alternate eterior 9. consecutive interior 20. corresponding 2. alternate eterior 22. alternate interior 23. es; lternate Interior ngles Theorem 24. es; orresponding ngles onverse answers 25. } } } opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved reflection 42. ample answer: translation and then a reflection 43. rotation about Q 44. es; the ongruence Postulate 45. es; the ongruence Postulate 46. es; the ongruence Theorem 47. not enough , , } } no 54. es 55. es } , 5 88, z es; n, n DFE 59. es; n PQR, n UT d d ft Geometr ssessment ook 7

10 answers umulative Test , 5 0 Ï } Ï } 3, , 5 9 Ï } ft 8. m 5 358, ø 6.9, < m G 5 238, FG < 27.2, FH < m P < 40.48, m Q < 49.68, PQ < units , X9 Y9 8. Z9 X9 Y9 9. F G Z9 20. f5 28 7g 2. [26] F 222 0G F G F9 G9 H9 J F G 25. 0(0, 2), T0(24, 2), U0(0, 0) 26. 0(3, 22), T0(3, 2), U0(5, 22) 27. line smmetr; one line of smmetr 28. line smmetr; one line of smmetr 29. line smmetr, rotational smmetr; two lines of smmetr, 808 about the center F G F G , ( 3) ( 2) 2 ( 2 6) ample answer: d ft m cm ,423 d m ,576 in , ft ,368 m π ft 3 opright Houghton Mifflin Harcourt Publishing ompan. ll rights reserved. 8 Geometr ssessment ook

Cumulative Test 1. Name Date. In Exercises 1 5, use the diagram at the right. Answers

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