Answer:
The reflection is across the x-axis
Explanation:
* Lets revise the reflection
- If point (x , y) reflected across the x-axis
∴ Its image is (x , -y)
- If point (x , y) reflected across the y-axis
∴ Its image is (-x , y)
- If point (x , y) reflected across the line y = x
∴ Its image is (y , x)
- If point (x , y) reflected across the line y = -x
∴ Its image is (-y , -x)
* Now lets solve the problem
∵ The endpoints of a line segment are (3 , 2) and (2 , -3)
∵ The image of the endpoints after the reflection are (3 , -2) and (2 , 3)
* Lets study the change
# The x-coordinates of the points are 3 and 2
# The x-coordinates of the images are 3 and 2
# The y-coordinates of the points are 2 and -3
# The y-coordinates of the images are -2 and 3
- The change is in the signs of the y-coordinates
∴ The reflection is across the x-axis