Mathematics, 29.10.2020 21:50, mzrereday3151

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.

A. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm ∠IBE ≅ HCE.
B. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then translate point C to point B to confirm ∠IBE ≅ HCE.
C. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then dilate ΔCEH to confirm segment EB ≅ segment EC.
D. ∠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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Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity pos...