Question

ent. if they are, state how you know.
2)

Explanation:

To determine if the triangles are congruent, we analyze the given diagram:

Step 1: Identify Given Information

• The two triangles share a common side (the diagonal of the quadrilateral).
• One pair of sides is marked as equal (top left and bottom right sides).
• The included angles (between the equal side and the common side) are marked as equal (the angles at the left vertex).

Step 2: Apply Congruence Criterion

Using the Side - Angle - Side (SAS) congruence criterion:

• Two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle.
• The equal side (marked), the common side, and the equal included angle satisfy SAS.

Answer:

The triangles are congruent by the SAS (Side - Angle - Side) congruence criterion.