Question

Which of the following explains how ΔAEB could be proven similar to ΔDEC using the AA similarity postulate? A) ∠AEB ≅ ∠CED because vertical angles are congruent; reflect ΔCED across segment FG, then translate point D to point A to confirm ∠EAB ≅ ∠EDC. B)∠AEB ≅ ∠CED because vertical angles are congruent; rotate ΔCED 180° around point E, then dilate ΔCED to confirm segment EB ≅ segment EC. C) ∠AEB ≅ ∠DEC because vertical angles are congruent; rotate ΔCED 180° around point E, then translate point D to point A to confirm ∠EAB ≅ ∠EDC. D) ∠AEB ≅ ∠DEC because vertical angles are congruent; reflect ΔCED across segment FG, then dilate ΔCED to confirm segment EB ≅ segment ED

Answer 1

Answer:  C) ∠AEB ≅ ∠DEC because vertical angles are congruent; rotate ΔCED 180° around point E, then translate point D to point A to confirm ∠EAB ≅ ∠EDC.

Answer 2

Answer:

C

Step-by-step explanation:

We can eliminate B and D because the AA postulate includes 2 corresponding congruent pairs of angles, not sides. A does not make sense because you can't reflect ΔCED across FG and then translate point D to A, you need to rotate it 180°. Therefore, the answer is C.