Please see the image of triangle CDE in the picture attached below.
How to graph the image of a triangle by rigid transformation
Rigid transformation are transformations applied on geometric constructions such that Euclidean distances are not changed in any part of such construction. In this problem we must generate the image of triangle CDE by means of a rigid transformation known as horizontal reflection. The kind of horizontal reflection used in this problem is shown below:
Reflection over y-axis:
(x, y) → (- x, y)
First, determine the images of points D, C and E:
D(x, y) = (- 8, 5) → D'(x, y) = (8, 5)
C(x, y) = (- 8, 3) → C'(x, y) = (8, 3)
E(x, y) = (- 6, 2) → E'(x, y) = (6, 2)
Second, graph both triangle CDE and its image, triangle C'D'E'. (Image is attached below)