Which of the following explains how δaeb could be proven similar to δdec using the aa similarity postulate? quadrilateral abdc, in which point f is between points a and c, point g is between points b and d, point i is between points a and b, and point h is between points c and d. a segment connects points a and d, a segment connects points b and c, a segment connects points i and h, and a segment connects points f and g. segments ad, bc, fg, and ih all intersect at point e. the answer options are:

∠aeb ≅ ∠ced because vertical angles are congruent; reflect δced across segment fg, then translate point d to point a to confirm ∠eab ≅ ∠edc.
∠aeb ≅ ∠ced because vertical angles are congruent; rotate δced 180° around point e, then dilate δced to confirm segment eb ≅ segment ec.
∠aeb ≅ ∠dec because vertical angles are congruent; rotate δced 180° around point e, then translate point d to point a to confirm ∠eab ≅ ∠edc.
∠aeb ≅ ∠dec because vertical angles are congruent; reflect δced across segment fg, then dilate δced to confirm segment eb ≅ segment ed.