Use the image to answer the question.

Two quadrilaterals upper A upper B upper C upper D and upper E upper F upper G upper H are marked in the second and fourth quadrants of a coordinate plane respectively.

What reflections or sequence of reflections transforms figure ABCD into figure EFGH?

(1 point)
Responses which response is 100 percent correct and why don't make me down and be honest

Reflect ABCD first over the line x=0
, then over the line y=x.
Reflect cap A cap b cap c cap d first over the line x is equal to 0, then over the line y is equal to x .

Reflect ABCD first over the line y=0, then over the line y=x.
Reflect cap A cap b cap c cap d first over the line y is equal to 0 , then over the line y is equal to x .

Reflect ABCD first over the line x=0, then over the line y=0.
Reflect cap A cap b cap c cap d first over the line x is equal to 0 , then over the line y is equal to 0 .

Reflect ABCD over the line y=x
Reflect cap A cap b cap c cap d over the line y is equal to x
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1 answer

To transform quadrilateral ABCD in the second quadrant to quadrilateral EFGH in the fourth quadrant, we can analyze the reflections needed:

  1. Reflect ABCD over the line y = 0 (the x-axis): This reflection will transform the figure from the second quadrant to the third quadrant.

  2. Reflect the resulting figure over the line x = 0 (the y-axis): This will move the figure from the third quadrant to the fourth quadrant.

Thus, the correct sequence of reflections is: Reflect ABCD first over the line y = 0, then over the line x = 0.

However, that option wasn't listed directly in your question. Based on the options you provided, the best choice that aligns with the transformation is:

Reflect ABCD first over the line y = 0, then over the line y = x.

This would reflect the figure and adjust it further, though the direct transformation to the fourth quadrant from the second should actually require the first reflection over y=0 and then x=0.

In summary, verify the context of the figures to ensure you select the proper sequence. If you're following through with what is available, the second option aligns closely with the necessary transformations based on the standard perspective of transformations in a Cartesian plane.

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