4.8. ASA and AAS Triangle Congruence http://www.ck12.org
TABLE4.10:
Statement Reason1.^6 A∼=^6 Y,^6 B∼=^6 Z,AC∼=XY Given
2.^6 C∼=^6 X Third Angle Theorem
3. 4 ABC∼= 4 Y ZX ASA
Example A
What information would you need to prove that these two triangles are congruent using the ASA Postulate?
a)AB∼=U T
b)AC∼=UV
c)BC∼=T V
d)^6 B∼=^6 T
For ASA, we need the side between the two given angles, which isACandUV. The answer is b.
Example B
Write a two-column proof.
Given:^6 C∼=^6 E,AC∼=AE
Prove: 4 ACF∼= 4 AEB