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Points A and B have co-ordinates (3, 4) ...

Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image :
A" of A under reflection in the y-axis.

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To find the image of point A under reflection in the y-axis, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Coordinates of Point A**: The coordinates of point A are given as (3, 4). 2. **Understand Reflection in the Y-Axis**: When a point is reflected in the y-axis, the y-coordinate remains the same, while the x-coordinate changes its sign. This means that if the original point is (x, y), the reflected point will be (-x, y). 3. **Apply the Reflection Rule**: For point A with coordinates (3, 4): - The x-coordinate is 3. When reflected in the y-axis, it becomes -3. - The y-coordinate remains the same, which is 4. 4. **Write the Coordinates of the Reflected Point**: Therefore, the coordinates of the image A" (A double dash) under reflection in the y-axis will be (-3, 4). 5. **Final Answer**: The image A" of point A under reflection in the y-axis is (-3, 4). ### Summary: The image A" of point A (3, 4) under reflection in the y-axis is (-3, 4). ---
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