Question

given that the two triangles shown are congruent, explain one way to verify that the corresponding angles of the two triangles are congruent.
a. reflect across the horizontal axis and rotate 180°
b. reflect across the vertical axis and rotate 180°
c. reflect across the horizontal axis
d. reflect across the vertical axis

Explanation:

Step1: Analyze the position of the triangles

The two triangles are symmetric about the vertical axis.

Step2: Consider the effect of reflection

A reflection across the vertical axis will map one triangle onto the other. When a figure is reflected, the corresponding angles remain congruent.

Answer:

D. reflect across the vertical axis