Question

use the two congruent triangles to answer the question. which rigid motion verifies the triangles are congruent by sas? a. dilation b. reflection c. rotation d. translation

Explanation:

Step1: Recall rigid - motion types

Rigid motions include reflection, rotation, and translation. Dilation is not a rigid - motion as it changes the size of a figure.

Step2: Analyze each rigid - motion for SAS congruence

A reflection flips a figure over a line. A rotation turns a figure around a point. A translation slides a figure. For two triangles to be congruent by SAS (Side - Angle - Side), a rotation can be used to map one triangle onto the other such that the corresponding sides and the included angle match up. A reflection may not always align the sides and angles in the correct SAS - congruent way, and a translation just moves the figure without rotating or reflecting it to align the SAS parts.

Answer:

C. rotation