Question

graph the image of square efgh after a reflection over the y-axis.

Explanation:

Step1: Find coordinates of E, F, G, H

First, identify the coordinates of the square's vertices. From the graph:

• \( E \): Let's see, E is at (7, -8)
• \( F \): (8, -8)
• \( G \): (8, -7)
• \( H \): (7, -7)

Step2: Apply reflection over y - axis rule

The rule for reflecting a point \((x, y)\) over the \( y \)-axis is \((x, y)\to(-x, y)\).

• For \( E(7, -8) \): Reflect to \( E'(-7, -8) \)
• For \( F(8, -8) \): Reflect to \( F'(-8, -8) \)
• For \( G(8, -7) \): Reflect to \( G'(-8, -7) \)
• For \( H(7, -7) \): Reflect to \( H'(-7, -7) \)

Step3: Plot the reflected points

Plot the points \( E'(-7, -8) \), \( F'(-8, -8) \), \( G'(-8, -7) \), \( H'(-7, -7) \) on the coordinate plane and connect them to form the reflected square.

Answer:

The reflected square has vertices at \( E'(-7, -8) \), \( F'(-8, -8) \), \( G'(-8, -7) \), \( H'(-7, -7) \). (To graph, plot these points and connect them in order.)