5'5 ASA, SAA, AAA Congruence Shortcuts

1
5.5ASA, SAA, AAA Congruence Shortcuts?

• Objectives1. Discover whether ASA, SAA, and
  AAA are valid shortcuts for determining whether
  triangles are ?.

2
C-35 (ASA Congruence Conj.) If 2 ?s and the
side between them in one triangle are congruent to

• 2 ?s and the side
  between them in another triangle, then the
  triangles are ?.

3
Are these triangles congruent?
25
25
3 ft
3 ft
87
87

• Yes(ASA Congruence Conj.)

4
Are these triangles congruent?
61
59
61
59
25.5 m
25.7 m

• NO

5
Are these triangles congruent?
69
62
70
61
10mm
10mm

• NO

6
C-36 (SAA Congruency Conj.)

• SAA proves triangle congruency!

7
Are these triangles congruent?
63
3 ft
89
63
89
3 ft

• Yes(SAA Congruence Conj.)

8
Are these triangles congruent?
12.9 km
13.0 km
63
63
63
63

• NO

9
Are these triangles congruent?
7.7 yds
83
47
47
7.7 yds
83

• NO

10

• AAA does not necessarily prove triangle
  congruency.

11
Are these triangles congruent?
60
6
6
60
5
5
60
60
60
60
5
6

• NO

12
Are these triangles congruent?
5
5
60
60
60
5
60
5
60
60
5
5

• Yes!! (AAA)