The result of reflecting point (5.2) over the x-axis and then reflecting that image over the y-axis is (-5, -2)
Explanation:
In this exercise, we need to make two transformations to find the image of the point (5, 2):
- First: Reflect the point over the x-axis.
- Second: Next, reflect that image over the y-axis.
Let's call the (5, 2) point A, so the first transformation is as follows:
1. Reflect the point over the x-axis.
For any point (x, y), if you reflect this point over the x-axis you should multiply the y-coordinate by -1, so you get:
[tex](x,y)\rightarrow(x,-y)[/tex]
In this case, we have [tex]A(5,2)[/tex], so the image is:
[tex]A'(5,-2)[/tex]
2. Next, reflect that image over the y-axis.
For any point (x, y), if you reflect this point over the x-axis you should multiply the x-coordinate by -1, so you get:
[tex](x,y)\rightarrow(-x,y)[/tex]
In this case, we have [tex]A'(5,-2)[/tex], so the image is:
[tex]A''(-5,-2)[/tex]
The result of reflecting point (5.2 )over the x-axis and then reflecting that image over the y-axis is (-5, -2)
Learn more:
Transformations: https://brainly.com/question/12537916
#LearnWithBrainly
