Question

which pair of triangles can be proven congruent by sas?

Explanation:

Step1: Recall the SAS (Side - Angle - Side) congruence criterion

The 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 each option

• For the first option (the two isosceles - looking triangles with multiple angle markings): There is no clear indication of two sides and the included angle being equal.
• For the second option (the two triangles with a common side - like structure): There are two sides marked as equal and the vertical angles (which are equal) as the included angle.
• For the third option (the triangle with a line segment inside): There is no clear indication of two sides and the included angle being equal.

Answer:

The second pair of triangles.