Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(−2, −3), T(−4, 2). Determine the image vertices of P′ if the preimage is rotated 90° counterclockwise.

Question

P′(1, 5)
P′(−1, −5)
P′(5, −1)
P′(−5, 1)

Answer 1

To rotate a point 90° counterclockwise, we can use the following formulas:

P′(x′, y′) = (-y, x)

Let's apply this formula to each of the vertices:

For P(1, 5):
P′(5, -1)

For S(1, 0):
P′(0, -1)

For R(-2, -3):
P′(3, -2)

For T(-4, 2):
P′(2, 4)

Therefore, the image vertices of P′ after rotating the preimage 90° counterclockwise are:
P′(5, -1), S′(0, -1), R′(3, -2), T′(2, 4).