Question

ASAP PLS

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.

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

Answer 1

D

Explanation:

Answer 2

To find the image vertices of P' after rotating polygon PSRT 90 degrees counterclockwise, we can use the rotation formula:

`(x', y') = (-y, x)\\`

where
`(x, y)` are the coordinates of the preimage vertex and
`(x', y')\\` are the coordinates of the image vertex after rotation.

For vertex
`P(1, 5)`, we have:

`x' = -y = -(5) = -5`

`y' = x = 1`

Therefore, the image vertex of P' is
`(-5,1)`, which corresponds to answer choice D.