A rectangle with vertices at (2,3), (5,3), (5,6), and (2,6) is transformed to a rectangle with vertices at (2,−3), (5,−3), (5,−6), and (2,−6). Which transformation was applied?

Question

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1 point
Reflection over the x-axis
Reflection over the y-axis
Rotation 180 degrees about the origin
Translation 6 units down

Answer 1

To analyze the transformation from the original rectangle with vertices at (2,3), (5,3), (5,6), and (2,6) to the transformed rectangle with vertices at (2,−3), (5,−3), (5,−6), and (2,−6), we can look at how the y-coordinates of the vertices change.

1. The original vertices have the y-coordinates: 3, 3, 6, and 6.
2. The transformed vertices have the y-coordinates: -3, -3, -6, and -6.

We can see that each y-coordinate of the original rectangle is transformed to its negative value in the new rectangle. This indicates a reflection over the x-axis, as the y-coordinates are inverted while the x-coordinates remain unchanged.

Therefore, the transformation that was applied is: Reflection over the x-axis.