Question

Because you are famous people want to live near you you have a neighbor move in across the street after they build the same exact house as you did in chapter 3 plot and state the points of your neighbors house which is a reflection of your house over the x axis

Answer 1

To find the reflection of your house over the x-axis, we can consider the coordinates of points representing your house and then reflect those points. Here's how you can do this:

1. **Identify the points of your house**: Let’s assume the corners of your house are represented by these coordinates:
- A(1, 2)
- B(1, 5)
- C(4, 5)
- D(4, 2)

2. **Reflect over the x-axis**: To reflect a point (x, y) over the x-axis, you change the sign of the y-coordinate. So the reflection of each point will be:
- A'(1, -2)
- B'(1, -5)
- C'(4, -5)
- D'(4, -2)

3. **State the points of your neighbor's house**: Based on the reflection, if your neighbor built an identical house, the coordinates of the corners of your neighbor's house would be:
- A'(1, -2)
- B'(1, -5)
- C'(4, -5)
- D'(4, -2)

In conclusion, your neighbor's house at the reflection points over the x-axis would have corners at (1, -2), (1, -5), (4, -5), and (4, -2). The design would be the same as yours but inverted in the vertical direction.