Reteaching O 4 6 x. 6a. 2 6b a b. 3 8a. 0 8b. undefined. 3 10a. undefined 10b. 0 11a. 1 11b. 1
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1 Chapter Answers Alternative Activit -. Check students work.. Check students work Angles change. The sum remains Subtract (0 55) from 80 to get 8 Reteaching -. Alternative Activit Angles change measures, but the sum remains 0.. Angles change measures, but the sum remains 50.. Angles change measures, but the sum remains 70. The sum of the measures of an n-gon 80(n ).. The sum is ,000 Alternative Activit -5. Check students work.. Check students work.. Check students work.. m BAC and mbc remain equal. The computer will give 80 as the largest possible measure.. Students should construct a series of central angles, whose corresponding arcs cover the circle in nonoverlapping fashion. 7. Answers ma var. Sample: Draw a line through the center and use the two points where this line intersects the circle as endpoints of the desired arc... O Reteaching -. ABD: m ABD 0, m ADB 0; CBE: m CBE 0, m CEB 0, m BCE 0; BDE: m BDE 0, m DBE 0, m BED 0. DBE and ABC are acute, equiangular, and equilateral; ABD and CBE are isosceles and obtuse; ACE, ADE, CED, and CAD are and scalene.. PQT: m PTQ 5, m PQT 90; PQR: m PQR 90, m QPR 5, m QRP 5; RQS: m RQS 90, m QSR 5, SQT: m SQT 90, m QST 5, m STQ 5. PT TS RS PR 0 mm; PQ QT QR QS 8 mm PQT, PQR, RQS, SQT, PRS, PTS, PRT, and RST are and isosceles. Reteaching -. and are interior angles; and are eterior angles.. m 5; m 90; m 5; m 90. is an interior angle ; and are eterior angles; is neither.. m 0; m 0; m 0; m 0. a. b. 7a. 7b. 8a. 0 8b. undefined 9a. 9b. 0a. undefined 0b. 0 a. b. Reteaching -.. Answers ma var. Sample:. O trapezoid Investigating Geometric Figures Geometr Chapter
2 Chapter Answers (continued). orthographic: parallelogram. rectangle. isometric: top side. parallelogram. square 7. isosceles trapezoid 8. rhombus Reteaching -5.. Check students work. 50% Wall Street Journal rhombus 0% N.Y. Times 0% Others orthographic isometric: orthographic: top side Reteaching -. congruent. similar;. neither. similar; Reteaching -7 Answers ma var. Sample:. isometric:. isometric: orthographic: top side top side orthographic:. isometric: orthographic: top side Practice -: Eample Eercises. 0; 77; z. u 00; v 7; w 80. p 0; q 0; r. 95; w 85; q 0 a 80; b 00; c 5. m 5; n 55; k f ; g 8. 0 d ; e isometric: top side Practice -: Mied Eercises ; 5; z 5 8. a 55; b 97; c 8 9. v 8; w 7; t w 0.5; m ; m ; m m ; m 5 9. isosceles 0. obtuse scalene Geometr Chapter Investigating Geometric Figures 5
3 Chapter Answers (continued) Practice -: Eample Eercise m 5; m 90. m 5; m 90; m 5 5. m 0; m 0; m 00. Practice -: Mied Eercises. 0; 0. n 5 7. a 08; b BEDC. FAE 7. FAE and BAE 8. ABCDE 9. 0 O Practice -: Eample Eercises. O O.. O O. 7. O O Investigating Geometric Figures Geometr Chapter
4 Chapter Answers (continued) 8.. O O 9.. O 0.. O O. O Geometr Chapter Investigating Geometric Figures 7
5 Chapter Answers (continued) neither parallel. perpendicular 7. perpendicular 8. neither 9. neither 0. perpendicular. parallel. neither. parallel. neither neither. neither 7. perpendicular 8. parallel 9. parallel 50. perpendicular parallel 8. O Practice -: Mied Eercises O O O. O 8 Investigating Geometric Figures Geometr Chapter
6 Chapter Answers (continued)... O O O neither. neither 7. perpendicular 8. neither 9. perpendicular 0. parallel. perpendicular. parallel. neither. neither perpendicular. parallel 7. neither 8. perpendicular 9. parallel 0. perpendicular. parallel. neither. neither. parallel perpendicular Practice -: Eample Eercises. square, rectangle, quadrilateral, rhombus. trapezoid, quadrilateral. trapezoid, isosceles trapezoid, quadrilateral. quadrilateral false. true 7. false 8. false 9. true 0. false. isosceles trapezoid. trapezoid. 5. AB AD 9; BC DC 8 Practice -: Mied Eercises. parallelogram. rectangle. quadrilateral. parallelogram, quadrilateral kite, quadrilateral. rectangle, parallelogram, quadrilateral 7. trapezoid, isosceles trapezoid, quadrilateral 8. square, rectangle, parallelogram, rhombus, quadrilateral 9. 7; AB BD DC CA 0. m 9; s ; ON LM ; OL MN. f 5; g ; FG GH HI IF 7. parallelogram. rectangle. kite parallelogram Practice -5: Eample Eercises. r ; C (, ). r 5; C (, ). r ; C (, ). r ; C (, ) Practice -5: Mied Eercises r 5; C (, ). r 0 ; C (.5,.5) 7. r ; C (, ) 8. 7,, 9. 0, 0, ,.,, Answers ma var. Sample:. DFA, ABF. FE, FD. FEB, EDA. FE, ED ACB. FCD 7. 0 in. 8. cm 9. ft 0. mm. in.. 00 cm. 0 ft. cm p 9.5 km. ft 7. cm mi Practice -: Eample Eercises. m 0; m 0. m 90; m 5. m 5 0; m 90, m 7 0; m F M, G P, H Q, FG MP, GH PQ, FH MQ S R, T I, U C, ST RI, TU IC, SU RC Practice -: Mied Eercises. C J, A S, T D, CA JS, AT SD, CT JD ft 9..8 in cm Geometr Chapter Investigating Geometric Figures 9
7 Chapter Answers (continued) Practice -7: Eample Eercises top.. top top.. 7. Practice -7: Mied Eercises.. top top 50 Investigating Geometric Figures Geometr Chapter
8 Chapter Answers (continued). 9. top. 0. top top.. top top. top Checkpoint : For use after -.. Answers ma var. Sample:. top Geometr Chapter Investigating Geometric Figures 5
9 Chapter Answers (continued). 7. ; ; perpendicular 8. 7 ; ; neither 9. ; ; parallel 0. ; 7 ; neither. Answers ma var. Sample:. 9. ABC is isosceles and. 0. ABC HJG. Answers ma var. Sample: (0, 0), (, 0), (, ), (0, ). Answers ma var. Sample: (0, 0), (, ), (, 0), (, ). Answers ma var. Sample: (0, 0), (, 0), (, 5), (0, 5). 7.5 cm 7 in... ft ; 58; z. 5; 0. z 5; VY Checkpoint : For use after -. (, 5); 5. (0, 0); 5. (, ); Answers ma var. Sample: A quadrilateral with two adjacent congruent sides, and two adjacent congruent sides of a different measure D Chapter Assessment, Form A. ; 0. 70; 0, z 0. 5; 5; z 55. perpendicular neither. parallel 7. R T Q P PQRT is a trapezoid. 8. P Q Chapter Assessment, Form B. 70; 70; z 0. ; ; z. 90; 5; z 50. perpendicular neither. parallel 7. quadrilateral 8. trapezoid 9. ABC is scalene and. 0. PQR XWV. Answers ma var. Sample: (0, 0), (0, 0), (, ). Answers ma var. Sample: (0, ), (0, 0), (5, ). Answers ma var. Sample: (0, 0), (0, ), (, ), (, 0). 8.5 cm.5 in... ft ;. m 5 7. p 8; q top S R PQRS is a rectangle. top 5 Investigating Geometric Figures Geometr Chapter
10 Chapter Answers (continued) Alternative Assessment TASK : Scoring Guide Answers ma var. Samples: a. A(, 0) B(0, ) D(0, 0) C(, ) d. Quadrilaterals Parallelograms Rectangles Squares Polgons Triangles ABCD is not a rectangle. B(0, ) A(, 0) C(.5,.5) ABCD is a rectangle. b. For the figures in part a: AB :, CD : The lines are parallel because the slopes are equal. c. For ABC the sum of the three angles is 80. For ABCD the sum of the four angles is 0. Minor discrepancies are the result of measurement error and rounding error. Student draws figure accuratel, writes correct equations, and reasons logicall. Student draws figures and gives arguments and writes equations that are mainl correct, but ma contain minor errors. Student presents work with significant errors. 0 Student makes little or no attempt. TASK : Scoring Guide Answers ma var. Sample: a. and b. D(.5,.5) Isosceles Triangles Equilateral Triangles Triangles R Student draws accurate diagrams and gives well-reasoned eplanation. Region R is correctl placed. Student gives diagrams and eplanation which, while generall correct, contain minor errors. Student draws diagram or gives eplanation containing major flaws. 0 Student makes little or no attempt. TASK : Scoring Guide Answers ma var. Sample: C O (0, ) a. r, d ; AB, ACB; 90, 70 b. The slope of OA is ; the slope of OB is. The slopes are negative reciprocals of each other. Student gives accurate figure and correct answers. Student draws figure or gives answers that contain minor errors. Student draws figure or gives answers that contain significant errors or omissions. 0 Student make little or no attempt. TASK : Scoring Guide Foundation drawing: A B c. Yes; es. Whether two triangles are similar or congruent, if one is isosceles, so is the other; if one is equilateral, so is the other. This is because corresponding sides are either proportional or equal. So both triangles will be represented b the same region in the Venn diagram. Geometr Chapter Investigating Geometric Figures 5
11 Chapter Answers (continued) Orthographic drawing: b. top Student draws completel accurate figures. Student draws generall accurate figures, but these ma contain a minor error. Student draws figure containing significant errors. 0 Student make little or no attempt. Cumulative Review. D. D. D. D A. C 7. C 8. B 9. D 0. A. A. D. A. 7 Answers ma var. Sample: ;. D C top. RS PQR. Answers ma var. Sample: Divide 0 b the number of sides. Standardized Test Practice. B. D. D. A B. C 7. D 8. C 9. C 0. B. C. A. C. B B. C 7. C 8. Check students work. 9. Answers ma var. Sample: Compare the two lines slopes. If two lines are parallel, their slopes are equal; if two lines are perpendicular, the product of their slopes is. 0a. ; (, ) 0b. ; (, ) A B isosceles trapezoid 7. 8; 8; QR TS ; QT RS 8. BC 9. Answers ma var. Sample: (, 0), (, ), (, 0), (, ) 0. (, ); 0. (, ); a. b. a. top 5 Investigating Geometric Figures Geometr Chapter
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