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

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?  
1 point
Reflection over the x-axis
Reflection over the y-axis
Translation 6 units down

GPT-4o mini · Answer

To understand the transformation, let's compare the original rectangle's vertices with the transformed rectangle's vertices:

Original vertices:

(2, 3)
(5, 3)
(5, 6)
(2, 6)

Transformed vertices:

(2, -3)
(5, -3)
(5, -6)
(2, -6)

We can see that the y-coordinates of the original rectangle (3 and 6) have changed to -3 and -6 in the transformed rectangle. This indicates that the points are being reflected across the x-axis, where each y-coordinate is inverted.

Thus, the transformation applied is Reflection over the x-axis.