- A(4, −5)
- B(−4, 5)
- C(−4, −5)
- D(5, 4)
Step-by-Step Solution
Reflecting in the -axis keeps the same and changes the sign of : (4, 5) → (4, −5).
Answer: A) (4, −5)
The mirror image (reflection) of the point (4, 5) in the -axis is:
Class 9Coordinate GeometryCoordinate Geometry
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.
- **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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