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Attempt this question on graph paper. ...

Attempt this question on graph paper.
Write down :
the image A'' of A . When A is reflected in the origin.

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To find the image A'' of point A when it is reflected in the origin, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Coordinates of Point A**: Let's assume the coordinates of point A are (x, y). For this example, we will take A as (1, 2). **Hint**: Choose any point A with coordinates (x, y) for your calculations. 2. **Understand Reflection in the Origin**: When a point (x, y) is reflected in the origin, the new coordinates become (-x, -y). This means we change the sign of both the x-coordinate and the y-coordinate. **Hint**: Remember that reflecting in the origin means flipping both coordinates to their negatives. 3. **Calculate the Coordinates of A''**: For point A(1, 2), the reflection A'' will be: \[ A'' = (-1, -2) \] **Hint**: Simply apply the rule of reflection by negating both coordinates. 4. **Plot the Points on Graph Paper**: - Plot the original point A(1, 2) on the graph paper. - Plot the reflected point A''(-1, -2) on the graph paper. **Hint**: Use graph paper to visualize the points accurately, marking the x-axis and y-axis clearly. 5. **Label the Points**: Clearly label the points A and A'' on the graph paper. **Hint**: Labeling helps in identifying the original and reflected points easily. ### Final Answer: The image A'' of A when A is reflected in the origin is (-1, -2).
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