Question

In figure, the point C is the image of point A in line l and line segment BC intersects the line l at P.

(a) Is the image of P in line l the point P itself?
(b) Is PA = PC?
(c) Is PA + PB = PC + PB?
(d) Is P that point on line l from which the sum of the distances of points A and B is minimum?

Answer 1

Given, in figure, the image of the point A is C, in the line l.

(a) Yes, the image of P in line l is the point itself.

(b) Yes, PA = PC

(c) Yes, PA + PB = PC + PB because the distance, PA = PC

(d) Yes, from the point P in the line l, the sum of the distances of points A and B is minimum.