Question

8) Kelly is completing a proof based on the figure below. She was given that A = ZEDF.

and has already proven AB = DE. Which pair of corresponding parts and triangle
congruency method would not prove AABC = ADEF?
D
1) AC = DF and SAS
2) BC =EF and SAS
3) ZC = ZF and AAS
4) CBA = FED and ASA
This method would not prove the two triangles because

Answer 1

the corresponding parts and triangle congruency method used in option 4) is ASA (Angle-Side-Angle). However, in order to prove triangle congruence using ASA, the included side between the two given angles must be congruent. In this case, CBA and FED are not given to be congruent, so option 4) would not prove
AABC = ADEF.
Answer
Option 4) ASA does not prove AABC = ADEF
because the included side is not given to be congruent.