Reflect the figure over the line y= -x -2
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You'll have a quadrilateral with the following points

A diagram is posted below.

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Explanation:

The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that

I started at the lower right corner and worked my way clockwise.

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Let's shift the line y = x-2 up two units so that it moves to y = x

We'll need to shift every point of the quadrilateral up two units as well.

So we have these new point locations after the shifting has occurred.

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Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.

So we can say

A point like (-3, 5) moves to (5, -3)

We have these new locations

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The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.

Doing this leads to these locations

Check out the diagram below.

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step-by-step explanation: