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What is the mirror image of the point (−6, −1) in the -axis?

Class 9Coordinate GeometryCoordinate Geometry
  • A(6, −1)
  • B(6, 1)
  • C(−6, 1)
  • D(−1, −6)

Step-by-Step Solution

A reflection in the -axis leaves the abscissa unchanged and reverses the sign of the ordinate, so (−6, −1) becomes (−6, 1). Changing the abscissa instead would be a reflection in the -axis.
Answer: C) (−6, 1)

Key idea: Special points

- **Origin**: (0, 0).
- **On -axis**: , so the form is (a, 0). Examples: (3, 0), (−5, 0).
- **On -axis**: , so the form is (0, b). Examples: (0, 7), (0, −2).
- **First-quadrant point**: both positive.
- **Third-quadrant point**: both negative.

Knowing which axis or quadrant a point belongs to is a quick check that you've plotted it correctly.

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