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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

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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Answer 1

To transform figure ABCD (which is in the second quadrant) into figure EFGH (which is in the fourth quadrant), we need to consider the positions of the figures and the lines of reflection.

1. Reflection over the line y=0 (the x-axis): This would move points from the second quadrant (where y-coordinates are negative) to the fourth quadrant (where y-coordinates are positive).

2. Reflection over the line y=x: This line swaps the x-coordinates and y-coordinates of each point.

Considering these reflections:

• Reflecting ABCD over the line y=0 will first move the points into the fourth quadrant.
• Then, reflecting over y=x will place the points into the correct orientation and position for figure EFGH.

Thus, the correct sequence of reflections to transform figure ABCD into figure EFGH is:

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