Question

which pair of triangles is congruent by side - angle - side? 1 2 3 4

Explanation:

Step1: Recall SAS Congruence Criterion

The Side - Angle - Side (SAS) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Analyze Pair 1

In pair 1, we do not have information about the included angle for the given sides.

Step3: Analyze Pair 2

In pair 2, the sides and angles do not match the SAS pattern (the angle is not the included angle between the two sides in a consistent way for both triangles).

Step4: Analyze Pair 3

In pair 3, we have a right - angle (from the perpendicular symbol), but it is not clear if the sides and included angle (the right - angle) are presented in the SAS format for congruence.

Step5: Analyze Pair 4

In pair 4, we can see two sides (marked with one and two tick - marks respectively) and the included angle (the angle between the two sides, which is a right - angle in this case as indicated by the markings) are equal for the two triangles.

Answer:

4