polygon ABCDE is on a coordinate plane with point A at 2, 4 and point B at 4, 3 and point C at 3, 2 and point D at 1, 2 and point E at 0, 3
Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A′ is at (−2, 2) and the image of D′ is at (−3, 0). Which transformation can be used to show that ABCDE and its image are congruent?
Rotate ABCDE 90° counterclockwise.
Translate ABCDE left 4 units and down 2 units.
Reflect ABCDE over the x‐axis.
Rotate ABCDE 90° clockwise.
Reflect ABCDE over the x‐axis.
This transformation will result in the image of A′ at (−2, 2) and the image of D′ at (−3, 0), which matches the given coordinates of the new polygon. Additionally, reflecting over the x-axis will preserve the shape and size of the original polygon, making ABCDE and its image congruent.