Question

What else would need to be congruent to show that AABC= ADEF by the

AAS theorem?
Given:
LA=ZD
AB=DE
A. ZCE ZF
B. AC DF
C. BC = BC
D. ZB ZE

Answer 1

To prove that triangles ABC and ADEF are congruent by the AAS theorem, we need to show that the corresponding angles and side are congruent.

Step-by-step explanation:

To show that triangles ABC and ADEF are congruent by the AAS (Angle-Angle-Side) theorem, we need to prove that the corresponding angles and the corresponding side are congruent.

1. Given that angle A = angle D and angle B = angle E, we already have two pairs of congruent angles.
2. We are also given that side AC = side DF, which is the side between the two given angles.
3. Now, we need to show that side BC is congruent to side DE. However, the lengths of these sides are not given in the question, so we cannot conclude their congruence based on the given information.

To prove triangle congruence using AAS, we need to know the lengths of all three sides or have information that allows us to conclude their congruence.