Question

What additional congruences would need to be true to demonstrate that △ABC is congruent to △DEF in accordance with the Angle-Angle-Side (AAS) congruence criterion?

A. ∠C = ∠F
B. ∠A = ∠D
C. ∠B = ∠E
D. AC = DF

Answer 1

To demonstrate congruence of △ABC and △DEF using AAS, ∠C must equal ∠F, ∠A must equal ∠D, and AC must equal DF.

Step-by-step explanation:

To demonstrate that △ABC is congruent to △DEF using the Angle-Angle-Side (AAS) congruence criterion, the following additional congruences need to be true:

1. ∠C = ∠F: The corresponding angles of the two triangles must be congruent.
2. ∠A = ∠D: The corresponding angles of the two triangles must be congruent.
3. AC = DF: One of the sides of both triangles must be congruent.