If the distance from point P to point L is the same as the distance from point P to point C, then P is on *

Question

if the distance from point P to point L is the same as the distance from point P to point C, then P is on *

A.) the bisector of angle C.

B.) the bisector of angle L.

C.) the perpendicular bisector of segment LC.

Answer 1

The triangle LPC is isosceles. (PL=PC) From this the conclusion C is clear.

Answer 2

This answer is C, it is on the perpendicular bisector of segment LC.

Draw any line segment P and L, then another point C anywhere, but the length needs to be the same as PL. You will note that LC (if you connect those points) will become the perpendicular bisector to point P.

I hope that makes sense.....