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serious [3.7K]
3 years ago
7

What set of reflections would carry parallelogram ABCD onto itself?

Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0
"y-axis, x-axis, y-axis, x-axis" is the set of reflections among the following choices given in the question that <span>would carry parallelogram ABCD onto itself. The correct option among all the options that are given in the question is the third option or the penultimate option. I hope that this is the answer that has helped you.</span>
MariettaO [177]3 years ago
4 0

The <em>correct answer</em> is:


y-axis, x-axis, y-axis, x-axis .


Explanation:


A reflection across the y-axis negates the x-coordinate; algebraically,

(x, y)→(-x, y).


A reflection across the x-axis negates the y-coordinate; algebraically, this takes our new point

(-x, y)→(-x, -y).


Reflecting again across the y-axis will take our new point

(-x, -y)→(x, -y).


Reflecting again across the x-axis will take our new point

(x, -y)→(x, y).


This is where we started; thus the polygon is mapped onto itself.

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