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Amit says the points (−5, 2) and (−5, −2) are mirror images of each other in the -axis. Which correction is right?

Class 9Coordinate GeometryCoordinate Geometry
  • AThey are mirror images in the -axis, because only the ordinate changed sign.
  • BAmit is correct; they are mirror images in the -axis.
  • CThey are mirror images in the origin, because one coordinate is negative.
  • DThey are not mirror images at all, because both points lie in the same quadrant.

Step-by-Step Solution

Both points have abscissa −5, and only the ordinate changed sign — exactly what a reflection in the -axis does. A reflection in the -axis would have reversed the abscissa instead. (The points are in different quadrants: II and III.)
Answer: A) They are mirror images in the -axis, because only the ordinate changed sign.

Key idea: The Cartesian plane

Two perpendicular axes — horizontal -axis) and vertical -axis) — meet at the **origin** (0, 0). Together they divide the plane into four **quadrants**:

- **I**: > 0 (top right)
- **II**: > 0 (top left)
- **III**: < 0 (bottom left)
- **IV**: < 0 (bottom right)

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

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