Question

fill in the blank 1 point
are the triangles congruent?
choose your answer...
what postulate can prove these triangles are congruent?
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Explanation:

Step1: Identify the congruent triangles

The two triangles share a common side (the vertical line in the figure). Also, two pairs of corresponding sides are marked as equal (the sides with one and two tick - marks respectively).

Step2: Recall the SSS (Side - Side - Side) postulate

The SSS postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent. In this case, the three sides (the common side and the two pairs of marked sides) satisfy the SSS condition.

Answer:

Yes, the triangles are congruent. The postulate that can prove this is the SSS (Side - Side - Side) postulate.