Question 70
In the 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 the line l from which the sum of the distances of points A and B is minimum?
Question 70
In the 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 the line l from which the sum of the distances of points A and B is minimum?
Given, in the figure, the image of the point A is C, in the line l.
(a) Yes, the image of P in line l the point P itself as it lies on the line
(b) Yes PA = PC, as C is an image of A and for any line the object (A in our case) and an image (point C in our case) across the line are always equidistance from any point on the line.
(c) Yes PA + PB = PC + PB because PB is common and the distance, PA = PC (explained above)
(d) Yes from the point P in the line l, the sum of the distances of points A and B is minimum
Given, in the figure, the image of the point A is C, in the line l.
(a) Yes, the image of P in line l the point P itself as it lies on the line
(b) Yes PA = PC, as C is an image of A and for any line the object (A in our case) and an image (point C in our case) across the line are always equidistance from any point on the line.
(c) Yes PA + PB = PC + PB because PB is common and the distance, PA = PC (explained above)
(d) Yes from the point P in the line l, the sum of the distances of points A and B is minimum
(a) Is the image of P in line l the point P itself?
