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

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

The angle bisectors of ΔBCD intersect at the same point as those of ΔBED.

The perpendicular bisectors of ΔBCD intersect at the same point as those of ΔBED.

The angle bisectors of ΔBCD intersect at the same point as the perpendicular bisectors of ΔBED.

Question

Quadrilateral BCDE is inscribed in circle A as shown. BD¯¯¯¯¯ divides the quadrilateral into two triangles, ΔBCD and ΔBED. Which statement is true about the triangles?

The angle bisectors and the perpendicular bisectors for both triangles intersect at the same point.

The angle bisectors of ΔBCD intersect at the same point as those of ΔBED.

The perpendicular bisectors of ΔBCD intersect at the same point as those of ΔBED.

The angle bisectors of ΔBCD intersect at the same point as the perpendicular bisectors of ΔBED.

anonymous · Answer

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anonymous · Answer

The perpendicular bisectors of ΔBCD intersect at the same point as those of ΔBED.
 is the answer