1. Triangle Congruence by ASA and AAS
GEOMETRY LESSON 4-3
Pages Exercises
1. PQR VXW
2. ACB EFD
3. RS
4. N and O
5. yes
6. not possible
7. yes
8. a. Reflexive
b. ASA
9. AAS
10. ASA
11. not possible
FDE GHI; DFE HGI
13. a. UWV
b. UW
c. right
d. Reflexive
B D
15. MU UN
16. PQ QS
WZV WZY
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2. Triangle Congruence by ASA and AAS
GEOMETRY LESSON 4-3
18. a. Vert. are .
b. Given
c. TQ QR
d. AAS
PMO NMO; ASA
UTS RST; AAS
ZVY WVY; AAS
TUX DEO; AAS
23. The are not because no sides are . s
TXU ODE; ASA
25. The are not because the are not included .
26. Yes; if 2 of a are to 2 of another , then the 3rd are So, an AAS proof can be rewritten as an ASA proof.
27. a. SRP
b. PR
c. alt. int.
d. PR
e. Reflexive
28. a. Given
b. Def. of bis.
c. Given
d. Reflexive Prop. of
e. AAS
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3. Triangle Congruence by ASA and AAS
GEOMETRY LESSON 4-3
29. a. Def. of
b. All right are .
c. QTP STR
d. Def. of midpt.
e. AAS
30. s
34. Yes; by ASA since
BDH FDH by def. of bis. and DH DH by the Reflexive Prop. of .
35. Answers may vary. Sample:
36. a. Check students’ work.
b. Answers may vary; most likely ASA.
31. Yes; by AAS since
MON QOP.
32. Yes; by AAS since
FGJ HJG because when lines are ||, then alt. int. are and GJ GJ by the Reflexive Prop. of .
33. Yes; by ASA, since
EAB DBC because || lines have
corr. . s
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4. Triangle Congruence by ASA and AAS
GEOMETRY LESSON 4-3
AEB CED,
BEC DEA,
ABC CDA,
BAD DCB
AEB CED,
BEC DEA,
ABC CDA,
ABD DCA,
BAD DCB,
ABD DCB,
CBA DAB,
BCD ADC
39. They are bisectors; ASA.
44. [2] a. RPQ SPQ, RQP SQP (Def. of bisector)
b. ASA
[1] one part correct
40.
41.
42. D
43. F 13 20
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5. Triangle Congruence by ASA and AAS
GEOMETRY LESSON 4-3
45. [4] a. Def. of midpt.
b. Yes; JLM KGM because they are alt. int. of || lines, and LMJ GMK because vertical are . So the are by ASA.
c. Yes; if two of one are to of another , the third are .
[3] incorrect for part b or c, but otherwise correct
[2] correct conclusions but incomplete explanations for parts b and c
[1] at least one part correct
ONL MLN; SAS
47. not possible
48. AC and CB
49. If corr. are , then the lines are ||.
photos
photos
52. 60% more paper s s s s s s s s
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