Point P is plotted on the Cartesian plane. P is reflected in the $x$ -axis to give its mirror image P′. What are the coordinates of P′?

Class 9Coordinate GeometryCoordinate Geometry

Step-by-Step Solution

P

(- 2, 3)

. Reflecting in the

x

-axis keeps the abscissa and changes the sign of the ordinate, so

P^{'} = (- 2, - 3)

Answer: D) (−2, −3)

Two perpendicular axes — horizontal

(x

-axis) and vertical

(y

-axis) — meet at the **origin** (0, 0). Together they divide the plane into four **quadrants**:

- **I**:

x > 0, y

> 0 (top right)
- **II**:

x < 0, y

> 0 (top left)
- **III**:

x < 0, y

< 0 (bottom left)
- **IV**:

x > 0, y

< 0 (bottom right)

Points ON the axes don't belong to any quadrant. (a, 0) sits on the

x

-axis; (0, b) sits on the

y

-axis.

Don't just memorise the answer — build a daily practice habit.