Question

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

Explanation:

1. Recall the properties of rigid - motions:

• A dilation is not a rigid - motion as it changes the size of a figure.
• A reflection flips a figure over a line of reflection.
• A rotation turns a figure around a point.
• A translation slides a figure from one position to another.

1. For verifying congruence by SAS (Side - Angle - Side), we can use a rotation. A rotation can map one triangle onto another such that the corresponding sides and the included angle match up for the SAS criterion. A reflection and a translation can also be used in some cases, but rotation is a common rigid - motion for showing SAS congruence when the triangles are oriented in a way that a turn is needed to align them.

Answer:

C. rotation