1. Congruent Figures Pages 182-185 Exercises 1. CAB DAB; C D; ABC ABD;
GEOMETRY LESSON 4-1
Pages Exercises
1. CAB DAB;
C D;
ABC ABD;
AC AD; AB AB
CB DB
2. GEF JHI;
GFE JIH;
EGF HJI;
GE JH; EF HI
FG IJ
3. BK
4. CM
5. ML
6. B
7. C
8. J
9. KJB
CLM
JBK
MCL
13. E, K, G, N
14. PO SI; OL ID;
LY DE; PY SE
P S; O I;
L D; Y E
in.
in.
19. 77
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2. If two of a are to two of another , the third
Congruent Figures
GEOMETRY LESSON 4-1
in.
in.
22. 75
24. Yes; RTK UTK, R U (Given)
RKT UKT
If two of a are to two of another , the third
are . TR TU, RK UK (Given) TK TK (Reflexive Prop. of ) TRK TUK (Def. of )
25. No; the corr. sides are not .
26. No; corr. sides are not necessarily .
27. Yes; all corr. sides and
are .
28. a. Given
b. If || lines, then alt. int are .
c. Given
d. If 2 of one are to two of another , then 3rd are .
e. Reflexive Prop. of
f. Given
g. Def. of s s s s s s s s s s
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3. 29. A and H; B and G; C and E; D and F
Congruent Figures
GEOMETRY LESSON 4-1
29. A and H; B and G; C and E; D and F
30. x = 15; t = 2
31. 5
32. m A = m D = 20
33. m B = m E = 21
34. BC = EF = 8
35. AC = DF = 19
36. Answers may vary. Sample: It is important that PACH OLDE for the patch to completely fill the hole.
37. Answers may vary. Sample: She could arrange them in a neat pile and pull out the ones of like sizes.
JYB XCH
BCE ADE
TPK TRK
JLM NRZ;
JLM ZRN
42. Answers may vary. Sample: The die is a mold that is used to make items that are all the same size.
43. Answers may vary. Sample: TKR MJL: TK MJ; TR ML; KR JL; TKR MJL;
TRK MLJ; KTR JML
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4. b. If || lines, then alt. int. are .
Congruent Figures
GEOMETRY LESSON 4-1
44. a. Given
b. If || lines, then alt. int. are .
c. If || lines, then alt. int. are .
d. Vertical are .
e. Given
f. Given
g. Def. of segment bisector
h. Def. of
45. Answers may vary. Sample: Since the sum of the of a is 180, and if 2 of one are the same as 2 of a second , then their sum subtracted from 180 has to be the same.
46. KL = 4; LM = 3; KM = 5
47. 2; either (3, 1) or (3, –7) s
48. a. 15 b.
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5. 53. Answers may vary. Sample: 54.
Congruent Figures
GEOMETRY LESSON 4-1
51. 40
52. 72
53. Answers may vary. Sample:
54.
        
56. RS = PQ        
        
58. 12
59. AB GH
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