Answer:
The coordinates for point P are (c-a,b).
Explanation:
It is given that the following figure is an isosceles trapezoid. It means the two non parallel sides of the trapezoid are equal.
A parallel side of the trapezoid is lies on the x-axis, it means the opposite side is a horizontal line parallel to the x-axis and y-coordinate remains the same for all point lie on that side.
Since the opposite side has vertex (a,b), therefore the y-coordinate for point P is b.
The non-vertical sides are equal. Since the horizontal distance between (0,0) and (a,b) is (a), therefore the horizontal distance between point P and (c,0) is (a). So, the x-coordinate of P is (c-a).
Therefore the coordinates for point P are (c-a,b).