Question

problem 13: (first taught in lesson 34) select which shortcut can be used to prove this pair of triangles congruent. if no method applies, choose
one.\

Explanation:

Step1: Identify the common side

The two triangles share a common side. Let's call this side \(AB\). So, \(AB = AB\) (reflexive property).

Step2: Analyze the angles

We are given two pairs of angles. Let's assume the two triangles are \(\triangle ABC\) and \(\triangle ABD\). We have \(\angle CAB=\angle DBA\) and \(\angle ABC = \angle BAD\).

Step3: Apply the ASA (Angle - Side - Angle) congruence criterion

The ASA congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. Here, the included side is the common side.

Answer:

ASA (Angle - Side - Angle)