Question

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 proportional

ΔABC ~ ΔFDE because of the AA similarity postulate

segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations

Answer 1

The statement that will be true about the rigid transformations would be: C. ΔABC ~ ΔFDE because of the AA similarity postulate

What is the AA Similarity Theorem?

The AA Similarity Theorem states that when two angles in one triangles are congruent to two corresponding angles in another triangle, therefore, both triangles can be proven to be similar triangles.

In the diagram given as attached below, ΔABC and ΔFDE have two congruent corresponding angles:

• ∠D ≅ ∠A (right angles)
• ∠E ≅ ∠B

Therefore the statement that will be true about the rigid transformations would be: C. ΔABC ~ ΔFDE because of the AA similarity postulate

Learn more about AA Similarity Theorem on:

brainly.com/question/2166570