Question

Select the correct answer.
A circle with center A. 4 points B, C, D, and E are on the circumference. A quadrilateral is formed between these 4 points and it is shaded. A dashed line slopes upward to the right from B to D.

Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆ and ∆. Which statement is true about the triangles?

A.
The angle bisectors and the perpendicular bisectors for both triangles intersect at the same point.

B.
The angle bisectors of ∆BCD intersect at the same point as those of ∆BED.

C.
The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.

D.
The angle bisectors of ∆BCD intersect at the same point as the perpendicular bisectors of ∆BED.

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