Question

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.

Answer 1

Step-by-step explanation: option 3 is the answer

Answer 2

To rotate a point counterclockwise by 90 degrees, we can use the following formula for a 90-degree counterclockwise rotation:

P'x = -Py
P'y = Px

Let's apply this formula to each vertex of the polygon PSRT:

For P(1, 5):
P'x = -5
P'y = 1

For S(1, 0):
S'x = -0
S'y = 1

For R(-2, -3):
R'x = -(-3) = 3
R'y = -(-2) = 2

For T(-4, 2):
T'x = -2
T'y = -4

Therefore, the image vertices of P' after rotating the polygon PSRT 90 degrees counterclockwise are:
P'(-5, 1), S'(0, 1), R'(3, 2), and T'(-2, -4).