Question

which pair of triangles can be proven congruent by sas?

Explanation:

Step1: Recall SAS congruence rule

SAS (Side-Angle-Side) requires two pairs of corresponding sides to be equal, and the included angle (the angle between the two sides) to be equal in both triangles.

Step2: Analyze first triangle pair

The first pair has two pairs of equal sides, but the marked angles are not the included angles between the equal sides. This does not fit SAS.

Step3: Analyze second triangle pair

The second pair has a right angle, one pair of equal angles, and one pair of equal sides, which aligns with ASA or AAS, not SAS.

Step4: Analyze third triangle pair

The third pair has two pairs of corresponding equal sides, and the marked angle is the included angle between these two sides. This matches the SAS congruence rule.

Answer:

The third pair of triangles (the bottom pair with two pairs of marked sides and the included marked angle) is the one that can be proven congruent by SAS.