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The option that is a set of reflections that would also carry parallelogram ABCD onto itself is y=x, x-axis, y=x, y-axis.
<h3>What is the reflection about?</h3>Reflection is known to be the alteration in direction of a wave front and this is one that occurs at an interface that exist between two kinds of media making the wave front is said to be sent back into the medium where it was obtained.
Note that the The vertices of parallelogram ABCD are A(-1,-2), B(-2,-1), C(-4,-1), D(-3,-2) and when you look at the image, only option 2 of y=x, x-axis, y=x, y-axis fits into the values given.
For example if (-4, 1): Reflect across y-axis: (4, 1) Reflect across x-axis: (4, -1) Reflect across y-axis: (-4, -1) Reflect across x-axis: (-4, 1) note that it brings one back to (-4, 1).
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