Question

1. given triangles def and ghi, where ∠d = ∠g and ∠e = ∠h, what can be said about these triangles?

a. they are neither similar nor congruent
b. they are congruent
c. they have the same area
d. they are similar

Explanation:

Step1: Recall the AA (Angle - Angle) similarity criterion

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
Given \(\angle D=\angle G\) and \(\angle E = \angle H\).
By the AA similarity criterion, \(\triangle DEF\sim\triangle GHI\)

Answer:

d. They are similar