Question

A point Q is formed by taking the mirror image of P(4,5) in the x-axis. If a reflection of Q is taken in the y-axis, which quadrant will the resultant point be in?

• A. Quadrant I
• B. Quadrant IV
• C. Quadrant I
• D. Quadrant III

Answer 1

The correct option is D Quadrant III

Given, the point Q is a mirror image of P(4,5) in x-axis. So the x-coordinate of Q is same as P, and the y-coordinate will change sign.

This means that Q will be in the IV${}^{th}$ quadrant.

Similarly, the reflection of Q in they-axis will now have the same y-coordinate as Q, with the x-coordinate changing sign.

So, the reflection of Q in the y-axis is in the III${}^{rd}$ quadrant.