1. Triangle Congruence by SSS and SAS
GEOMETRY LESSON 4-2
1. SSS
2. cannot be proved
3. SAS
4. SSS
5. Yes; OB OB by Refl. Prop.; BOP
BOR since all rt. are ; OP OR (Given); the are by SAS. s
Pages Exercises
6. Yes; AC DB (Given); AE CE and BE DE
(Def. of midpt.); AEB
CED (vert. are )
AEB CED by SAS.
7. a. Given
b. Reflexive
c. JKM
d. LMK
8. WV, VU
9. W s
U, V
11. WU X
13. XZ, YZ
14. LG MN
T V or RS WU
16. DC CB
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2. Triangle Congruence by SSS and SAS
GEOMETRY LESSON 4-2
17. additional information not needed
18. Yes; ACB EFD by SAS.
19. Yes; PVQ STR by SSS.
20. No; need YVW
ZVW or YW ZW.
21. Yes; NMO LOM by SAS.
ANG RWT; SAS
KLJ MON; SSS
24. Not possible; need
H P or DY TK.
JEF SVF or
JEF SFV; SSS
BRT BRS; SSS
PQR NMO; SAS
28. No; even though the are , the sides may not be. s
29. No; you would need
H K or GI JL.
30. yes; SAS
31.
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3. Triangle Congruence by SSS and SAS
GEOMETRY LESSON 4-2
32.
33. a. Vertical are .
b. Given
c. Def. of midpt.
d. Given
e. Def. of midpt.
f. SAS s
34. Answers may vary. Sample:
35. a–b. Answers may vary. Sample:
a. wallpaper designs; ironwork on a bridge; highway warning signs
35. (continued)
b produce a well-balanced, symmetric appearance. In construction, enhance designs. Highway warning signs are more easily identified if they are .
ISP PSO; ISP OSP by SAS.
37. IP PO; ISP
OSP by SSS. s
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4. Triangle Congruence by SSS and SAS
GEOMETRY LESSON 4-2
38. Yes; ADB CBD by SAS; ADB
DBC because if || lines, then alt. int. are .
39. Yes; ABC CDA by SAS; DAC
ACB because if || lines, then alt. int. are .
40. No; ABCD could be a square with side 5 and EFGH could be a polygon with side 5 but no rt. . s
FG || KL (Given)
2. GFK FKL (If || lines, then alt. int. are .)
3. FG KL (Given)
4. FK FK (Reflexive Prop. of )
5. FGK KLF (SAS) s
42. AE and BD bisect each other, so AC CE and BC CD. ACB DCE  because vert. are .
ACB ECD by SAS. s
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5. Triangle Congruence by SSS and SAS
GEOMETRY LESSON 4-2
43.
44. AM MB because M is the midpt. of AB.
B AMC because all right are
. CM DB is given.
AMC MBD by SAS. s
45. D
46. G
47. C
48. [2] a. AB AB; Reflexive Prop. of
b. No; AB is not a corr. side.
[1] one part correct E
50. AB
51. FG C
53. The product of the slopes of two lines is –1 if and only if the lines are .
54. If x = 2, then 2x = 4. If 2x = 4, then x = 2.
55. If 2x = 6, then x = 3. The statement and the converse are both true.
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6. Triangle Congruence by SSS and SAS
GEOMETRY LESSON 4-2
56. If x2 = 9, then x = 3. The statement is true but the converse is false.
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