Question

Point P(-3,5) has undergone the transformations R90° followed by T6,-2. What are the coordinates of the preimage?

A. P(1,-5)
B. P(-7,-9)
C. P(9,-7)
D. P(7,9)

Answer 1

The coordinates of the preimage after the transformations R90° followed by T6,-2 are P(11, 1).

Step-by-step explanation:

To find the coordinates of the preimage after the transformations, we can apply the transformations to the original coordinates of point P.

1. R90° (rotation 90° counterclockwise):

• New x-coordinate = original y-coordinate: x' = 5
• New y-coordinate = -original x-coordinate: y' = -(-3) = 3

2. T6,-2 (translation 6 units right and 2 units down):

• New x-coordinate = original x-coordinate + 6: x'' = 5 + 6 = 11
• New y-coordinate = original y-coordinate - 2: y'' = 3 - 2 = 1

Therefore, the coordinates of the preimage are P(11, 1).