Question

The mirror image of point P(2, 3) taken about the origin is point P'. Find the quadrant which P' lies in.

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

Answer 1

The correct option is A Quadrant III



The point P is 2 units right of the origin and 3 units above of origin. Similarly the image of the point P i.e. P' will be 2 units left of origin and 3 units below of origin. Therefore the coordinates of point P' is (-2, -3).

As coordinates of point P' is (-2, -3), P' lies in quadrant III.

Alternatively:
The point P is in the quadrant I when taking its mirror image about the origin, the point P' will be formed in the quadrant III .