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Reflect square ABCD with respect to the x-axis and the y-axis. What are the vertices of square A′B′C′D′?Question
Reflect square ABCD with respect to the x-axis and the y-axis. What are the vertices of square A'B'C'D'?
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GPT 3.5
To reflect a figure with respect to the x-axis, we flip the figure over the x-axis. This means that each point's y-coordinate becomes its opposite.
For square ABCD, the vertices are A(1,1), B(4,1), C(4,4), and D(1,4).
Reflecting with respect to the x-axis, the y-coordinates of each vertex become their opposites, so the new vertices are A'(1,-1), B'(4,-1), C'(4,-4), and D'(1,-4).
To reflect a figure with respect to the y-axis, we flip the figure over the y-axis. This means that each point's x-coordinate becomes its opposite.
For square ABCD, the vertices are A(1,1), B(4,1), C(4,4), and D(1,4).
Reflecting with respect to the y-axis, the x-coordinates of each vertex become their opposites, so the new vertices are A'(-1,1), B'(-4,1), C'(-4,4), and D'(-1,4).
Therefore, the vertices of square A'B'C'D' are A'(-1,1), B'(-4,1), C'(-4,4), and D'(-1,4).
For square ABCD, the vertices are A(1,1), B(4,1), C(4,4), and D(1,4).
Reflecting with respect to the x-axis, the y-coordinates of each vertex become their opposites, so the new vertices are A'(1,-1), B'(4,-1), C'(4,-4), and D'(1,-4).
To reflect a figure with respect to the y-axis, we flip the figure over the y-axis. This means that each point's x-coordinate becomes its opposite.
For square ABCD, the vertices are A(1,1), B(4,1), C(4,4), and D(1,4).
Reflecting with respect to the y-axis, the x-coordinates of each vertex become their opposites, so the new vertices are A'(-1,1), B'(-4,1), C'(-4,4), and D'(-1,4).
Therefore, the vertices of square A'B'C'D' are A'(-1,1), B'(-4,1), C'(-4,4), and D'(-1,4).
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