Question

several dimensions in two triangles are labeled below. not drawn to scale. which statement can be used to prove that the triangles are congruent? a aaa b asa c sss d sas

Explanation:

Step1: Identify given side - lengths

The two triangles have side - lengths 4, 8, and 10. All three corresponding sides of the two triangles are equal.

Step2: Recall congruence postulates

AAA (Angle - Angle - Angle) only shows similarity, not congruence. ASA (Angle - Side - Angle) requires two angles and the included side. SAS (Side - Angle - Side) requires two sides and the included angle. SSS (Side - Side - Side) states that if the three sides of one triangle are equal to the three corresponding sides of another triangle, the triangles are congruent.

Answer:

C. SSS