Question

Explain how you would find the coordinates of the image

Answer 1

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:

$(x,y)\rightarrow(x,-y)$

In this case, we have $A(5,2)$, so the image is:

$A'(5,-2)$

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:

$(x,y)\rightarrow(-x,y)$

In this case, we have $A'(5,-2)$, so the image is:

$A''(-5,-2)$

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: brainly.com/question/12537916

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