Question

question 10 of 28 which of the following theorems verifies that △def~△xzy? a. aa b. hl c. ha d. ll

Explanation:

In $\triangle DEF$, one angle is $90^{\circ}$ and another is $50^{\circ}$, so the third - angle $\angle D=180^{\circ}-90^{\circ} - 50^{\circ}=40^{\circ}$. In $\triangle XZY$, one angle is $90^{\circ}$ and another is $40^{\circ}$. Two pairs of corresponding angles are equal. The AA (Angle - Angle) similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Answer:

A. AA