You are just beginning your life as an adult and have bought a house in a new housing development. Your house is located at A (2,3), B (4,3), C (4,5), D (3,6), and E (2,5). You have a new neighbor move in across the street from where your house is now located after the flood. They build the same exact house as you have. With a different color, plot and state the points of your neighbor’s house, which is a reflection of your house in Chapter 2 over the x-axis. Name the coordinates and color you used on your graph here.

Question

You are just beginning your life as an adult and have bought a house in a new housing development. Your house is located at A  (2,3), B (4,3), C (4,5), D (3,6), and E (2,5). You have a new neighbor move in across the street from where your house is now located after the flood. They build the same exact house as you have. With a different color, plot and state the points of your neighbor’s house, which is a reflection of your house in Chapter 2 over the x-axis. Name the coordinates and color you used on your graph here.

GPT 3.5 · Answer

Based on the given information, the coordinates of your house are A (2,3), B (4,3), C (4,5), D (3,6), and E (2,5).

To find the reflection of your house over the x-axis, we need to change the sign of the y-coordinate of each point.

The coordinates of your neighbor's house will be:

A' (2,-3)
B' (4,-3)
C' (4,-5)
D' (3,-6)
E' (2,-5)

Since the color of your house is not specified, we cannot provide the color used on the graph here.