Question

The right isosceles triangle PQR has vertices P(3, 3), Q(3, 1 and R(x, y) and is rotated 90 degrees counterclockwise about the origin. Find the missing vertex of the triangle. Then graph the triangle and its image

Answer 1

Since the triangle is isosceles, the two legs have equal length. The coordinates of two vertices are given
P(3,3)
Q(3,1)
Assuming that PQ and QR are the legs of equal length, the distance between Q and R must be the same as the distance between P and Q
d = √[(3-3)² + (3-1)²
d = 2
Therefore, the coordinates of P is
(5,1)