Chords and of circle O intersect at P such that P bisects. Which equation correctly relates the lengths of the line segments for

Question

DIA [1.3K]

3 years ago

15

Chords and of circle O intersect at P such that P bisects. Which equation correctly relates the lengths of the line segments for

med by their intersection? A)2AP=CP+DP
B)CP=DP
C)BP=PC
D)AP^2=CP*DP

Mathematics

1 answer:

Phoenix [80] · Answer 1 · 2022-03-18T01:38:26+03:00

In the diagram, the chords AB and CD intersect inside the circle at point P. The equation that best answers the question above is AP x PB = CP x DP. Since, the line segment AB is bisected, the equation can be further reduced into,
AP² = CP x DP
Thus, the answer is letter D.