point q of quadrilateral qrst is (-9,2). what is the image of q after qrst has been reflected across
the y-axis and then rotated 90 degrees about the origin?
• (2,-2).
• (-29)
(9,2)
none of the other answers are correct
• (-9,-2)

(-2,9)

(2,-9)

Step-by-step explanation:

The point Q of quadrilateral QRST has coordinate (-9,2).

When this point is reflected across the y-axis , we negate the x-coordinate to obtain .

This point is again rotated through an angle of 90 degrees(counterclockwise) about the origin.

The rule for 90 degrees counterclockwise rotation is .

Therefore the image of Q(-9,2) after a reflection across the y-axis followed by a 90 degrees counterclockwise rotation about the origin is is Q'(-2,9).

However, the rotation could also be clockwise.

The rule for 90 degrees clockwise rotation is .

The image of Q(-9,2) after a reflection across the y-axis followed by a 90 degrees clockwise rotation about the origin is is Q'(2,-9).

Both answers are there, so you can check them since the question did not specify the direction.

3

step-by-step explanation:

step-by-step explanation: