Answer:
(-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 [tex](--9,2)=(9,2)[/tex].
This point is again rotated through an angle of 90 degrees(counterclockwise) about the origin.
The rule for 90 degrees counterclockwise rotation is [tex](x,y)\to(-y,x)[/tex].
[tex]\implies (9,2)\to(-2,9)[/tex]
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 [tex](x,y)\to(y,-x)[/tex].
[tex]\implies (9,2)\to(2,-9)[/tex]
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.
