Answers: Chapter 3 Parallel and Perpendicular Lines Study Guide: Review; 1. alternate interior angles 3. transversal 5. rise; run AB || DE plane ABC \\ plane DEF mZKLM=100° 7. 9. 15. 17. 19. mZl = 107°;and mZ5 = 107°, so Z1 = Z5. c || d by the Conv. of Corr. Zs Post. 21. mZ1=99 0 ,and mZ7 = 99°,soZ1 = Z7. c || d by the Conv. of Alt. Ext. Zs Thm. 26. 28. 30. 32. 34. 2. okow lines 4. point-slope form 6. Possible answer: DE and BC are skew. 8. AD 1 DE 14. mZWYZ = 90° 16. mZDEF = 79° 18. Z4 s Z6, so c || d by the Conv. of Alt. Int. Zs Thm. intersect 20. mZ6 = 66°, mZ3 =114°, and 66° + 114° = 180°, so Z6 and Z3 are supp. c || d by the Conv. of Same-Side Int. Zs Thm. 25. m = -j 27. neither 29. J- 31. y=|x-2 O 33. || 35. coincide -1-
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Answers: Chapter 3 Parallel and Perpendicular Lines
Study Guide: Review;
1. alternate interior angles
3. transversal
5. rise; run
AB || DE
plane ABC \\ plane DEF
mZKLM=100°
7.
9.
15.
17.
19. mZl = 107°;and mZ5 = 107°, so Z1 = Z5.c || d by the Conv. of Corr. Zs Post.
21. mZ1=990,and mZ7 = 99°,soZ1 = Z7.c || d by the Conv. of Alt. Ext. Zs Thm.
26.
28.
30.
32.
34.
2. okow lines
4. point-slope form
6. Possible answer: DE and BC are skew.
8. AD 1 DE
14. mZWYZ = 90°
16. mZDEF = 79°
18. Z4 s Z6, so c || d by the Conv. of Alt.Int. Zs Thm.
intersect
20. mZ6 = 66°, mZ3 =114°, and 66° + 114° =180°, so Z6 and Z3 are supp. c || d by theConv. of Same-Side Int. Zs Thm.
25. m = -j
27. neither
29. J-
31. y=|x-2O
33. ||
35. coincide
-1-
Answers: Chapter 4 Triangle CongruenceStudy Guide: Review;
1.
4.
6.
8.
10.
isosceles triangle
equiangular; equil.
60°
XZ
25
2.
5.
7.
9.
11.
oorrooponding angloc
obtuse;
66.5°
ZQ
7
scalene
12. 1. 7iIsDE, DBs AE (Given)2.3.
= IDA (Reflex. Prop, of = )SAD4E (SSS Steps 1, 2)
14. BC = (-6)2 + 36 = 72; V2 = 2(-6)2 = 72;
BC = YZ; ZC = ZZ; AC = XZ; soA/ISC =AXYZ by SAS.
13. 1. GJ bisects FH , and FH bisects GJ.(Given)
2. GK s JK, FK s HK (Def. of Bisect)3. ZGKF = ZJKH (Vert. ZsThm.)
4. AFGK ^AHJK (SAS Steps 2, 3)
15. = 25-1 = 24; QR = 25;
= 252-(25-1)2-42 = 7; LM=~PQ;
bySSS.
16. 1. Cisthemdpt. of AG. (Given)2. GC sj4C (Def. of mdpt.)3. hiA H G8 (Given)
4. ZHX\C^Z6GC (Alt. Int. ZsThm.)5. ZHC/A s ZBCG (Vert. Zs Thm.)6. *HAC SABGC (ASA Steps 4, 2, 5)
17. 1. WX1 XZ, YZ _L ZX (Given)2. ZW*Z and ZVZX are it Zs. (Def. of 1)3. AWZX and AYXZ are rt. AS.
(Def. of rt. A )4. XZ s ̂ (Reflex. Prop, of =)5. l^sYX (Given)6. A^ZX =AYXZ (HL Steps 5, 4}
18. 1. Z Sand Z Varert. Zs. (Given)2. ZS s ZV (Rt. Z s Thm.)3. RT = LW (Given)4. RT = UW (Def. of s)5. mZT=mZW (Given)6. ZT^ZH/ (Def. of s)7. ARST ^UVW (AAS Steps 2, 6, 4)
19. 1. Mis the mdpt. of BD. (Given)' (Def. of mdpt.)2.MB =
3. BC^DC (Given)4. CM s CM (Reflex. Prop, of = )5. ACBM SACDM (SSS Steps 2, 3, 4)6. Z1 s Z2 (CPCTC)
-1-
Answers: Chapter 4 Triangle Congruence
Study Guide: Review;
20. 1. PQ = RQ (Given) 28. x = -5
2. PS sRS (Given)3. OS s OS (Reflex. Prop, of s)4. APQS SARQS (SSS Steps 1, 2, 3)5. ZPQS = ZRQS (CPCTC)
6. OS bisects ZPQR. (Def. of bisect)
29. RS-13.5 30. 70 units
-2-
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