Question

graph the image of △cde after a reflection over the x-axis.

Explanation:

Step1: Find coordinates of C, D, E

From the graph:

• \( C(-6, 6) \)
• \( D(2, 6) \)
• \( E(-6, 3) \)

Step2: Apply reflection over x - axis

Rule for reflection over \( x \)-axis: \( (x, y) \to (x, -y) \).

• For \( C(-6, 6) \): \( (-6, -6) \)
• For \( D(2, 6) \): \( (2, -6) \)
• For \( E(-6, 3) \): \( (-6, -3) \)

Step3: Plot the new points

Plot \( C'(-6, -6) \), \( D'(2, -6) \), \( E'(-6, -3) \) and connect them to form \( \triangle C'D'E' \).

Answer:

The image of \( \triangle CDE \) after reflection over the \( x \)-axis has vertices at \( C'(-6, -6) \), \( D'(2, -6) \), and \( E'(-6, -3) \). (Graph by plotting these points and connecting them.)