Question

select which shortcut can be used to prove this pair of triangles congruent. if no method applies, choose
one.\

Explanation:

Step1: Identify congruence - criteria facts

The Hypotenuse - Leg (HL) criterion is for right - triangles only. Here, we are not given that the triangles are right - triangles. The given markings show two pairs of corresponding sides and one pair of corresponding angles are equal.

Step2: Recall congruence postulates

The Side - Angle - Side (SAS) 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 two triangles are congruent. The marked sides and the marked included angle satisfy the SAS postulate.

Answer:

SAS (assuming the markings represent two sides and the included angle are equal)