Mathematics, 05.12.2019 20:31 naenaehampton13

Which of the following explains how δbei could be proven similar to δceh 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.

∠bei ≅ ∠ceh because vertical angles are congruent; rotate δceh 180° around point e, then translate point c to point b to confirm∠ibe ≅ hce.

∠bei ≅ ∠ceh because vertical angles are congruent; reflect δceh across segment fg, then translate point c to point b to confirm∠ibe ≅ hce.

∠bei ≅ ∠ceh because vertical angles are congruent; rotate δceh 180° around point e, then dilate δceh to confirm segment eb ≅ segment ec.

∠bei ≅ ∠ceh because vertical angles are congruent; reflect δceh across segment fg, then dilate δceh to confirm segment eh ≅ segment ei.

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