Question

PLEASE HELP!!!!

Quadrilateral BCDE is inscribed in circle A as shown. BD divides the quadrilateral into two triangles, BCD and BED. 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 BCD intersect at the same point as those of BED.

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

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

Answer 1

The answer is going to be c

Answer 2

As, you must keep in mind , if you draw perpendicular bisector of chords of a circle they will intersect at the center.

So, in triangle BCD, BC, CD and BD are chords of circle. Perpendicular bisector of BC, CD and BD will intersect at the center O.

Similarly, in triangle BED, BE,ED and BD are chords of circle. when you will draw perpendicular bisector of all these chords they will meet each other at point O.

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