Question

Which congruence postulate or theorem would you use to prove that the following two triangles are congruent?

A. Side AB = 6 inches.
B. Side AC = 8 inches.
C. Angle A = 45 degrees.
D. Angle D = 45 degrees.

Answer 1

The two triangles can be proven congruent using the Side-Angle-Side (SAS) congruence postulate.

Step-by-step explanation:

To prove that the two triangles are congruent, we can use the Side-Angle-Side (SAS) congruence postulate. This postulate 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, we have side AC = 8 inches and angle A = 45 degrees for one triangle, and side AB = 6 inches and angle D = 45 degrees for the other triangle. These correspond to two sides and the included angle of the triangles, satisfying the SAS postulate and proving that the triangles are congruent.