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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?
Solution
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.
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