Question

Chords and of circle O intersect at P such that P bisects. Which equation correctly relates the lengths of the line segments formed by their intersection? A)2AP=CP+DP
B)CP=DP
C)BP=PC
D)AP^2=CP*DP

Answer 1

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.