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question 3 of 10 based only on the information given in the diagram, it…

Question

question 3 of 10 based only on the information given in the diagram, it is guaranteed that △abc∼△def.

Explanation:

Step1: Identify angle - angle similarity

In $\triangle ABC$ and $\triangle DEF$, $\angle A=\angle D = 90^{\circ}$ and $\angle B=\angle E=31^{\circ}$.

Step2: Apply similarity criterion

By the AA (angle - angle) similarity criterion, if two angles of one triangle are congruent to two angles of another triangle, the two triangles are similar. So $\triangle ABC\sim\triangle DEF$.

Answer:

A. True