- A(−5, 2)
- B(5, 2)
- C(−5, −2)
- D(2, −5)
Step-by-Step Solution
Reflecting in the origin changes the sign of both coordinates: (5, −2) → (−5, 2).
Answer: A) (−5, 2)
Which point is the reflection of (5, −2) in the origin (i.e. both coordinates change sign)?
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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