Question

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

1. Is the image of P in line l the point P itself?
2. Is PA = PC?
3. Is PA + PB = PC + PB?
4. 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.

1. Yes, the image of P in line l is the point itself.
2. Yes, PA = PC
3. Yes, PA + PB = PC + PB because the distance, PA = PC
4. Yes, from the point P in the line l, the sum of the distances of points A and B is minimum.