Question

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, 4) and the image of D′ is at (−1, 2). Which transformation can be used to show that ABCDE and its image are congruent?

Answer 1

Answer: When a polygon is transformed so that the image of A′ is at (−2, 4) and the image of D′ is at (−1, 2), it means that the image of the polygon is congruent to the original polygon and has undergone a transformation of a horizontal reflection.

A horizontal reflection is a transformation in which the shape is reflected over the x-axis, resulting in a mirror image of the shape with the same size and orientation but reflected horizontally. In this case, the image of the polygon is congruent to the original polygon and has undergone a horizontal reflection with a horizontal translation of 3 units to the left.

The transformation can be described as a composition of the horizontal reflection over the x-axis and a translation of -3 units horizontally.

Explanation: