Question

write the coordinates of the vertices after a reflection over the x-axis.

Explanation:

Step1: Find original coordinates

From the graph, we identify the original coordinates:

• \( E(8, -9) \)
• \( F(9, -9) \)
• \( G(9, -4) \)

Step2: Apply reflection over x - axis rule

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

For \( E(8, -9) \):

Using the rule, the new \( x \)-coordinate remains \( 8 \), and the new \( y \)-coordinate is \(-(-9)=9\). So \( E'(8, 9) \).

For \( F(9, -9) \):

Using the rule, the new \( x \)-coordinate remains \( 9 \), and the new \( y \)-coordinate is \(-(-9) = 9\). So \( F'(9, 9) \).

For \( G(9, -4) \):

Using the rule, the new \( x \)-coordinate remains \( 9 \), and the new \( y \)-coordinate is \(-(-4)=4\). So \( G'(9, 4) \).

Answer:

\( E'(8, 9) \)
\( F'(9, 9) \)
\( G'(9, 4) \)