Question

Ernie wants to prove the congruence of triangles AMAR and ANIL. Which congruence proof can Ernie use?

a) SSS (Side-Side-Side)
b) SAS (Side-Angle-Side)
c) AAA (Angle-Angle-Angle)

Answer 1

Ernie can use the SAS (Side-Angle-Side) congruence proof to prove the congruence of triangles AMAR and ANIL.

Step-by-step explanation:

Ernie can use the SAS (Side-Angle-Side) congruence proof to prove the congruence of triangles AMAR and ANIL.

SAS states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

In this case, Ernie can show that segment AM and segment AN are congruent (Side), angle MAR and angle NIL are congruent (Angle), and segment AR and segment IL are congruent (Side). Therefore, by the SAS congruence proof, Ernie can conclude that triangles AMAR and ANIL are congruent.