Questions: Which method can be used to prove that the pair of triangles are congruent? Select the best answer from the choices provided. A. SSS B. SSA C. ASA D. The triangles cannot be proven congruent.

Which method can be used to prove that the pair of triangles are congruent?

Select the best answer from the choices provided.
A. SSS
B. SSA
C. ASA
D. The triangles cannot be proven congruent.

Transcript text: Which method can be used to prove that the pair of triangles are congruent? Select the best answer from the choices provided. A. SSS B. SSA C. ASA D. The triangles cannot be proven congruent.

Solution

Solution Steps

Step 1: Identify the Given Information

The diagram shows two triangles that share a common side (the vertical line) and have two pairs of congruent angles at the top.

Step 2: Determine the Congruence Method

The given information includes:

Two pairs of congruent angles (one at each end of the top line).
A common side (the vertical line).

Step 3: Apply the ASA Congruence Criterion

The Angle-Side-Angle (ASA) criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.