If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true? triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
segment DE ~ segment AB because corresponding parts of similar triangles are similar
ΔABC ~ ΔFDE because of the AA similarity postulate
segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations

C. ΔABC ~ ΔFDE because of the AA similarity postulate

Step-by-step explanation:

For the two triangles,

<E ≅ <B (given congruent angles)

<D ≅ <A = (right angles)

Since two angles of the given two triangles are congruent, then they are congruent. Also, their third angles would be similar.

So that,

<F ≅ <C (congruent property of angles of triangles)

This implies that,

<A + <B + <C ≅ <D + <E + <F = (sum of angles in a triangle)

Therefore,

ΔABC ~ ΔFDE (Angle- Angle, AA, similarity postulate)

for b its (t) and c its (d)

step-by-step explanation: