Use graph paper to answer the following questions.
(Take 2 cm = 1 unit on both axis).
Here A' (4,2), B' (-2,4) (iii) B' is the image of B when reflected in the line AA'. Write the coordinates of B'.the points A (-4, 2) and B (2, 4)

Answer

To solve the problem of finding the coordinates of point B' when point B is reflected in line AA', we will follow these steps:

### Step-by-Step Solution:

1. **Plot Points A and A'**:
- Point A has coordinates (-4, 2).
- Point A' has coordinates (4, 2).
- On the graph, mark point A at (-4, 2) and point A' at (4, 2).

**Hint**: Remember that the x-coordinate is negative for A and positive for A'.

2. **Draw Line AA'**:
- Connect points A and A' with a straight line. This line is the axis of reflection.

**Hint**: Use a ruler to ensure the line is straight.

3. **Plot Point B**:
- Point B has coordinates (2, 4).
- Mark point B on the graph at (2, 4).

**Hint**: The x-coordinate of B is positive, and the y-coordinate is above the x-axis.

4. **Determine the Distance from B to Line AA'**:
- The y-coordinate of line AA' is constant at 2.
- The y-coordinate of point B is 4.
- The distance from point B to line AA' is 4 - 2 = 2 units.

**Hint**: This distance is how far point B is above the line AA'.

5. **Reflect Point B Across Line AA'**:
- To find the image point B', move down the same distance (2 units) from line AA'.
- Since point B is 2 units above the line, point B' will be 2 units below the line.
- The new y-coordinate for B' will be 2 - 2 = 0.
- The x-coordinate remains the same as point B, which is 2.

**Hint**: The x-coordinate does not change during reflection across a horizontal line.

6. **Write the Coordinates of B'**:
- The coordinates of B' are (2, 0).

**Hint**: Ensure you write the coordinates in the correct format (x, y).

### Final Answer:
The coordinates of B' are (2, 0).