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State the co-ordinates of the following ...

State the co-ordinates of the following points under reflection in y-axis :
(i) (6, -3) (ii) (-1, 0) (iii) (-8, -2)

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To find the coordinates of the given points under reflection in the y-axis, we will follow these steps: ### Step-by-Step Solution: 1. **Understanding Reflection in the Y-axis**: - When a point (x, y) is reflected in the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. - Therefore, the new coordinates after reflection will be (-x, y). 2. **Applying the Reflection Rule to Each Point**: **(i) For the point (6, -3)**: - Original coordinates: (6, -3) - Applying the reflection rule: - New x-coordinate = -6 - y-coordinate remains the same = -3 - Reflected point: **(-6, -3)** **(ii) For the point (-1, 0)**: - Original coordinates: (-1, 0) - Applying the reflection rule: - New x-coordinate = -(-1) = 1 - y-coordinate remains the same = 0 - Reflected point: **(1, 0)** **(iii) For the point (-8, -2)**: - Original coordinates: (-8, -2) - Applying the reflection rule: - New x-coordinate = -(-8) = 8 - y-coordinate remains the same = -2 - Reflected point: **(8, -2)** 3. **Final Reflected Coordinates**: - (i) (6, -3) → (-6, -3) - (ii) (-1, 0) → (1, 0) - (iii) (-8, -2) → (8, -2) ### Summary of Reflected Points: - (6, -3) → (-6, -3) - (-1, 0) → (1, 0) - (-8, -2) → (8, -2)
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