Use graph paper to answer the following questions.
(Take 2 cm = 1 unit on both axis).
(ii) A' is the image of A when reflected in the Y-axis. Plot it on the graph paper and write the coordinates of A'.the points A (-4, 2) and B (2, 4).

Answer

To solve the problem of finding the image of point A (-4, 2) when reflected in the Y-axis, follow these steps:

### Step-by-Step Solution:

1. **Understand the Reflection in the Y-axis**:
- When a point (x, y) is reflected in the Y-axis, its x-coordinate changes sign while the y-coordinate remains the same. Therefore, the image of point A (-4, 2) will be A' (4, 2).

2. **Plot the Points on Graph Paper**:
- Draw the X-axis and Y-axis on graph paper.
- Label the axes appropriately. Remember that 2 cm represents 1 unit.
- Locate point A (-4, 2):
- Move 4 units to the left of the Y-axis (since -4 is negative) and 2 units up (positive y-coordinate).
- Mark point A on the graph.

3. **Plot the Image A'**:
- Now, plot the reflected point A' (4, 2):
- Move 4 units to the right of the Y-axis (since 4 is positive) and 2 units up (same y-coordinate as A).
- Mark point A' on the graph.

4. **Write the Coordinates of A'**:
- The coordinates of A' are (4, 2).

### Final Answer:
- The coordinates of A' after reflection in the Y-axis are (4, 2).