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Chapter 9 Answers9.Practice 9-11. No; the triangles are not the same size.All rights reserved.2. Yes; thehexagons are the same shape and size.3. Yes; the ovalsare the same shape and size.4a. C and F 4b. CD and C D , DE and D E , EF and E F , CF andC F 5a. M and N 5b. MN and M N , NOand N O , MO and M O 6. (x, y) S (x - 2, y - 4)7. (x, y) S (x - 2, y - 2)8. (x, y) S (x - 3, y - 1)9. (x, y) S (x 4, y - 2)10. (x, y) S (x - 5, y 1)11. (x, y) S (x 2, y 2)12. W (-2, 2), X (-1, 4),Y (3, 3), Z (2, 1)13. J (-5, 0), K (-3, 4), L (-3, -2)14. M (3, -2), N (6, -2), P (7, -7), Q (4, -6)15. (x, y) S (x 4.2, y 11.2)16. (x, y) S (x 13, y - 13)17. (x, y) S (x,y)18. (x, y) S (x 3, y 3)19a. P (-3, -1)19b. P (0, 8), N (-5, 2), Q (2, 3)A Practice 9-21. (-3, -2)2. (-2, -3)3. (-1, -4)4. (4, -2)5. (4, -1)6. (3, -4)y7a.yTB 42 6 4 2 22 4 B T A10.T yT4 6 4 2A11.6 x42 4 4B B A yT 6 xT44L 2 6 4 2 O 2 I 46 xK J B A 4A yB 12.y7b. Pearson Education, Inc., publishing as Pearson Prentice Hall. 8 6 4 2A 268 xBI J O 2 6L 2466 x2 6 4 2 2y4Z A2Y 6 4 22 4W 48b.6xX 13. (-6, 4)1. I7.2. I46x14. (-8, 0)3. I15. (0, -12)4. GH5. G6. STU TP4Y 22 4 BPractice 9-3yX T, T 4 48a. 6 44104K 2W Z 4Geometry Chapter 946xST US Answers35

Chapter 9 Answers(continued)8.Practice 9-41. The helmet has reflectional symmetry.2. The teapothas reflectional symmetry.3. The hat has both rotationaland reflectional symmetry.4. The hairbrush hasPreflectional symmetry.5.O9.P P NQ O 6.Q O P N Q M N L L Q O L M N L M NMLOQQ P line symmetry and 72 rotationalsymmetryP9.N O 11. L 12.E7. This figure has no lines of symmetry.8.P Q M P O line symmetryQ'10.P'SR'Pline symmetry and 90 rotationalsymmetryQ11.R13.P'SQ'line symmetry and 45 rotationalsymmetryPR'12.QXOXR180 rotational symmetry13.line symmetry36AnswersGeometry Chapter 9 Pearson Education, Inc., publishing as Pearson Prentice Hall.10.All rights reserved.N

Chapter 9 Answers(continued)14.12.R Rline symmetry and 45 rotationalsymmetryO15.A180 rotational symmetryA All rights reserved.16.T 13. P (-12, -12), Q (-6, 0), R (0, -6)14. P (-12, 41),311Q (1 4, -4), R (1 4 , 2)15. P (-21, 6), Q (3, 24),R (-6, 6)16. P (-2, 1), Q (-1, 0), R (0, 1)Practice 9-6line symmetry17.18.1. I. D II. C III. B IV. A3.COOK2. I. B II. A III. C IV. DB B B20.HOAX mm4.C CC19.21.m 5.1. L (-2, -2), M (-1, 0), N (2, -1), O (0, -1)2. L (-30, -30), M (-15, 0), N (30, -15), O (0, -15)3. L (-12, -12), M (-6, 0), N (12, -6), O (0, -6)4. 535. 126. 27. yes8. no9. noRAR11.R OT A mJPractice 9-510.JR Geometry Chapter 9A m y6.4E S 2TAJ Pearson Education, Inc., publishing as Pearson Prentice Hall.TT T O 2246 xB Answers37

Chapter 9 Answersyy13.10B T 4B 86 4 2 O 24E S 2 4 2 O4 x24248 x6B T translational symmetryyT 2.S 42 2 OB 216. glide reflection1. 4line symmetry,rotational symmetry,translational symmetry,glide reflectional symmetryE 26 x43.y10.4B T 2translational symmetry 6 4 2 O 2E 44 x24.line symmetry,rotational symmetry,translational symmetry,glide reflectional symmetryS y11.B 25.4 x 6 E 2 O 2line symmetry,rotational symmetry,translational symmetry,glide reflectional symmetry 4S T 6.y12.S 4E 2 2 O 2T 3824 4rotational symmetry,translational symmetry6 x7.8.B AnswersGeometry Chapter 9 Pearson Education, Inc., publishing as Pearson Prentice Hall.9.S Practice 9-72 2 O 26 x415. rotation14. reflection17. translationE S 2 4 E y8.T 2All rights reserved.7.(continued)

Chapter 9 Answers(continued)9.–11. Samples:9.10.8.Z YX 11.ZXAll rights reserved.Reteaching 9-412. yes17. no13. yes14. no15. yes16. noReteaching 9-11.–5. Check students’ work.6. A (0, -3), B (1, 1),C (4, -1), D (5, -4)7. A (4, -2), B (5, 2), C (8, 0),D (9, -3)8. A (3, 5), B (4, 9), C (7, 7), D (8, 4)1. two lines of symmetry (vertical and horizontal), 180 rotational symmetry (point symmetry)2. one line ofsymmetry (horizontal)3. one line of symmetry (vertical)4. two lines of symmetry (vertical and horizontal), 180 rotational symmetry (point symmetry)5. one line ofsymmetry (vertical)6. one line of symmetry (vertical)Reteaching 9-51. Check students’ work.y2.4Reteaching 9-2 Pearson Education, Inc., publishing as Pearson Prentice Hall.1.–5. Check students’ work.6. reflection across x-axis:F (-1, -3), G (-5, -1), H (-3, -5); reflection acrossy-axis: F (1, 3), G (5, 1), H (3, 5)7. reflection acrossx-axis: C (2, -4), D (5, -2), E (6, -3); reflection acrossy-axis: C (-2, 4), D (-5, 2), E (-6, 3)8. reflectionacross x-axis: J (-1, 5), K (-2, 3), L (-4, 6); reflectionacross y-axis: J (1, -5), K (2, -3), L (4, -6)2 4 2 O 224 x 4y3.4Reteaching 9-32Y1.–5. 4Z Y XX 24 x 4Zy4.TY6.O 242Z XX Y TZ 12 8 6 4 2 O 2246812 x 47. Sample:YZ SX XY ZGeometry Chapter 9Answers39

Chapter 9 Answers1210y5.line symmetry across thedashed lines, rotationalsymmetry around points,translational symmetry, glidereflectional symmetry642 8 6 22 4 6 8 xEnrichment 9-1 4 6 8 101.3.5.8.(x, y) S (x - 7, y - 2)2. (x, y) S (x 4, y - 7)(x, y) S (x - 10, y 5)4. (x, y) S (x - 3, y - 4)Foster6. yes7. Wilson(x, y) S (x - 7, - 3)9. C 12Enrichment 9-21. (-3, -1)Reteaching 9-61. translation2. reflection3. rotation4. glide reflection5. rotation6. glide reflection7. reflection8. translation2. (-1, 0)3. (5, 3)4. the midpoint formula: M y5.x1 1 x2 y1 1 y2(,22)6LK4Reteaching 9-721.L'J 6 4 2J'All rights reserved.5.(continued)0246 x 2 4K'2. Sample:6. y 12 x 7.12T'line symmetry across the dashedlines, rotational symmetry aroundpoints, translational symmetry,glide reflectional symmetry 6 4 2Q'4206xR'R 6Q 8line symmetry across the dashedlines, rotational symmetry aroundpoints, translational symmetry,glide reflectional symmetry2 S'4 2 43.ySTy -44.rotational symmetry aroundpoints, translational symmetry40AnswersGeometry Chapter 9 Pearson Education, Inc., publishing as Pearson Prentice Hall. 6

Chapter 9 Answers8.6y(continued)12.E'6D'44D2H' 2F'0 6 4 224 8 6 4 2 0H 2 6IG 42 J' 46xJ 6y -xK9.6All rights reserved.I'K'6x 2F 4Eyy4ADA' 6 40B 2C 42C'Enrichment 9-4x 110.M6yNM'2P0 8 6 4 2N'Q 2Q' 4P'6x4 6y -2x - 211.11. (0, -2, 3)2. (-2, -2, 3)3. (-2, -2, 0)4. (0, -2, 0)5. (0, -6, 0)6. (0, -6, 3)7. (-2, -6, 3)8. (-2, -6, 0)9. (2, 0, 3)10. (2, -2, 3)11. (2, -2, 0)12. (2, 0, 0)13. (6, 0, 0)14. (6, 0, 3)15. (6, -2, 3)16. (6, -2, 0)x6B' -12 x -Enrichment 9-3D'2 6 Pearson Education, Inc., publishing as Pearson Prentice Hall.yG'U'V'6yU4Enrichment 9-52W'T' 8 6 4 20 2 4 6y 3x 2Geometry Chapter 91. yes; rotational and point symmetry2. no3. yes;rotational and point symmetry4. yes; rotational and pointsymmetry5. no6. no7. diamonds8. 129. Seven of diamonds; this does not have symmetry becausethe diamond in the middle is toward either the bottom or topof the card, and when you rotate the card 180 , the positionwill be reversed.10. All the face cards have symmetry.11. yes; 2, 4, 1012. No; Sample: When you look at thecard one way, three of the points of the hearts are pointingdown, and five are pointing up. When you rotate the card 180º,five of the points of the hearts are pointing down, and threeare pointing up.13. No; because the number and suit ofeach card are placed in opposite corners, none of the cardshave line symmetry.14. You can add a backward 3 withthe small club below it to the two empty corners to create linesymmetry, or you can remove the 3 with the small club belowit from each of the two corners.V6x4TW1a. (2, 0, 2)1e. (2, 0, 0)2a. (4, 0, 4)2e. (4, 0, 0)3. (0, 0, 0)1b. (0, 0, 2)1c. (0, 2, 2)1d. (2, 2, 2)1f. (0, 0, 0)1g. (0, 2, 0)1h. (2, 2, 0)2b. (0, 0, 4)2c. (0, 4, 4)2d. (4, 4, 4)2f. (0, 0, 0)2g. (0, 4, 0)2h. (4, 4, 0)4. 25. Each edge in the image is doublethat in the preimage.6. Samples: Three faces arecoplanar for image and preimage; three faces are parallel;each face in the image has two times the perimeter and fourtimes the area of the corresponding face in the preimage.7. Surface area of image 96 sq. units; surface area ofpreimage 24 sq. units; the ratio of the surface areas is 4 : 1.Answers41

Chapter 9 Answers(continued)8. Volume of image 64 cubic units; volume of preimage 8 cubic units; the ratio of the volumes is 8 : 1.9. Dilationsin three dimensions are proportional to dilations in twodimensions.1.–9. Check students’ work.10. 12-3; rotation; twice11. 13012. 10013. 1608.CC'L'BB'BD'AB'DC C'A, A'9.LC'CAD'D12R YOTATION10. T ( 8, -5), Q (2, -3) and R (4, 0) Checkpoint Quiz 21. line symmetry;rotational; 180 H2. line symmetry;rotational; 180 3. line symmetryActivity 2: Modelinga. Ancient Egyptian ornamentb. Oriental design4. rotational; 180 5. translational; no turns6. rotational; preimage turns7. translational8. rotational, reflectional, translational9. translationalChapter Test, Form Ac. Greek vase design42AnswersAll rights reserved.11 units up7.1.2.3.4.5.P (13, 0), Q (10, -2), R (11, -4), S (13, -6)P (-1, -2), Q (2, -4), R (1, -6), S (-1, -8)P (0, -5), Q (2, -2), R (4, -3), S (6, -5)P (-2.5, 0), Q (-1, -1), R (-1.5, -2), S (-2.5, -3)P (5, 2), Q (2, 0), R (3, -2), S (5, -4)6. P (-11, 3),Q (-8, 1), R (-9, -1), S (-11, -3)7. glide reflection8. translation9. translation10. rotationGeometry Chapter 9 Pearson Education, Inc., publishing as Pearson Prentice Hall.Activity 1: Investigatinga. verticalb. verticalc. bothCheck students’ work.1. No; the figures are not the same size.2. yes3. yes4. (x, y) S (x - 3, y - 2)5. 6 units right and4 units down6. a resultant translation of 4 units right and2C3OR45MEPGPFRLOLEI6ISEDIMIECS7R O T A T I O N A LGIIEMEOOFENNLT10AERR11CLS Y M M E T13P O I N TFIL1415ET R A N S F O R M A T I O NNCIATL16IT E S S E L L A T I O NNOGNChapter ProjectActivity 5: Creating Checkpoint Quiz 1Enrichment 9-7TRANSLAT8I M A GON9L I Na, bActivity 4: Classifyinga. mgb. 12Enrichment 9-61Activity 3: Investigating

Chapter 9 Answers(continued)11.16.B'C'A'PACAll rights reserved.12. line symmetry13. rotational symmetry14a. Any two of the following: ABCDEHIKMOTUVWXY14b. Any two of the following: HINOSXZ15. Translations can be performed on the pieces because theycan slide. Rotations can be performed on the pieces becauseeach piece can be turned. Reflections and glide reflectionscannot be performed on the pieces because the back of apuzzle piece is useless in solving the puzzle. Dilations areimpossible because the pieces cannot change size.16. A17. Sample: glide reflectional, rotational, line,and translational Pearson Education, Inc., publishing as Pearson Prentice Hall.18. L (-3, 6), M (6, 6), N (3, -9)19. L (12, -34),351M (4, 1), N (4, -2)20. L (-18, -18), M (-18, 18),N (0, 0)21. L (3, -2), M (0, -53 ), N (37 , -2)22. Y Z 15 cm; X Z 24 cm; scale factor 7323. X Y 25 in.; Y Z 40 in.; scale factor 5324. (-1, 3)25. (5, 4)26. (-2, -7)27. (2, -7)28. (1, -1)29. (-3, 1)B17. 180 rotational symmetry18. line symmetry19. line symmetry; 180 rotational symmetry20. (-7, 0) 21. (0, -3) 22. (-6, 1) 23. (-9, -4)24. (2, -2) 25. (-5, 11)Alternative Assessment, Form CTASK 1: Scoring Guide20; 200 cm; all distances are magnified 20 times.Chapter Test, Form B1. Yes; the figures are the same shape and size. 2. No;the figures are not the same size. 3. Yes; the figures are thesame shape and size. 4. (x, y) S (x - 6, y 1)5. (x, y) S (x 3, y - 7) 6. A9(0, -3), B9(-4, 0),C9(-6, -4), D9(-3, -5) 7. A9(6, 3), B9(10, 0), C9(12, 4),D9(9, 5) 8. A9(3, 8), B9(-1, 5), C9(-3, 9), D9(0, 10)9. A9(5, 2), B9(1, -1), C9(-1, 3), D9(2, 4) 10. A9(-3, 0),B9(0, -4), C9(-4, -6), D9(-5, -3) 11. A9(0, 3), B9(4, 6),C9(6, 2), D9(3, 1) 12. (x, y) S (x 4, y - 3)13. (x, y) S (x - 3, y 6) 14. rhombus and two triangles;3 Student gives correct answers and a clear and accurateexplanation.2 Student gives answers and an explanation that are largelycorrect.1 Student gives answers or an explanation that may containserious errors.0 Student makes little or no effort.TASK 2: Scoring GuideSample:translation15. A'B'P C'ACBGeometry Chapter 93 Student draws a figure that accurately reflects the statedconditions.2 Student draws a figure that is mostly correct but falls justshort of satisfying all the stated conditions.1 Student draws a figure that has significant flaws relative tothe stated conditions.0 Student makes little or no effort.Answers43

Chapter 9 Answers(continued)d. glide reflection:TASK 3: Scoring GuideSample:The car can undergo translations and rotations as it movesand turns. But it can undergo neither a dilation, which wouldchange its size, nor a reflection, which would, for example,put the steering wheel on the passenger side.3 Student gives a correct and thorough explanation.2 Student gives an explanation that demonstratesunderstanding of transformations but may contain minorerrors or omissions.1 Student gives an explanation containing major errors oromissions.0 Student makes little or no effort.4 yThe glide reflection is equivalent toa translation 2, 0 followed by areflection across the line y -2.2 4 2 224x 4e. rotation:4 y4x 4 24 y 423 Student gives accurate graphs and correctly identifies thedetails the problem calls for.2 Student gives generally correct graphs and details, althoughthe work may contain some errors.1 Student gives graphs and accompanying details that containsignificant errors or omissions.0 Student makes little or no effort.4x 4 4a. translation:4 y2translation vector: 1, 0 4 22Cumulative Review1. D8. H14. J2. G3. B4. H5. A6. J7. B9. C10. J11. B12. H13. A15. B16. 49 cm317. A, H, I, M, O, T, U, V,W, X, Y18. Rotational; it is turning around a fixed point,4x 4the corner.b. dilation:19.44 y2Tscale factor: 2yUG U G2T 2 2x2 4 24 x20. Equilateral triangle, square, and regular hexagon;the measure of each interior angle is a factor of 360.21. If a triangle is not a right triangle, then the PythagoreanTheorem cannot be applied.c. reflection:y24 2 2 2line of reflection: y 12y22.44x2U 4VV U 4 224W 6 xW 423. 21.2144AnswersGeometry Chapter 9 Pearson Education, Inc., publishing as Pearson Prentice Hall.Sample:All rights reserved.degrees of rotation: 90TASK 4: Scoring Guide

Chapter 9 Answers (continued) 40 Answers Geometry Chapter 9 5. Reteaching 9-6 1. translation 2. reflection 3. rotation 4. glide reflection 5. rotation 6. glide reflection 7. reflection 8. translation Reteaching 9-7 1. 2. Sample: line symmetry across the dashed lines, rotational symmetry around points,translational symmetry,File Size: 672KBPage Count: 10

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