What set of reflections and rotations would carry rectangle ABCD onto itself? (a) Rotate 180°, reflect over the x-axis, reflect over the line y=x (b) Reflect over the x-axis, rotate 180°, reflect over the x-axis (c) Rotate 180°, reflect over the y-axis, reflect over the line y=x (d) Reflect over the y-axis, reflect over the x-axis, rotate 180°

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What set of reflections and rotations would carry rectangle ABCD onto itself? (a) Rotate 180°, reflect over the x-axis, reflect over the line y=x (b) Reflect over the x-axis, rotate 180°, reflect over the x-axis (c) Rotate 180°, reflect over the y-axis, reflect over the line y=x (d) Reflect over the y-axis, reflect over the x-axis, rotate 180°

Mathematics
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Carry onto itself means that the transformation ends up at the same rectangle.
Pick a vertex and execute the transformations.

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Other answers:

im still confused.
Let's take the vertex (-1,1) a point on that rectangle.
what do i do after i take that point ?
if we rotate it 180 degrees we get (1,-1)
So i would rotate all the other points also ?
yes
There is no typo, i copied and paste it straight from the worksheet.
it says x axis twice
Can we look at part d) What happens when you do the transformations to the point (-1,1)
Start with (-1,1) Reflect over the y-axis --->(1,1) reflect over the x-axis--->(1,-1) rotate 180°---->(-1,1)
Notice that you end up at the same point you started with

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