Question

write the coordinates of the vertices after a reflection over the y - axis.
c(\square, \square)
d(\square, \square)
e(\square, \square)
f(\square, \square)

Explanation:

Step1: Find original coordinates

First, identify the original coordinates of each vertex. From the graph:

• \( C(-10, -2) \)
• \( D(0, -2) \)
• \( E(0, 8) \)
• \( F(-10, 8) \)

Step2: Apply reflection over y - axis

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

• For \( C(-10, -2) \): Apply the rule, \( x=-10\to -(-10) = 10 \), \( y=-2 \) remains. So \( C'(10, -2) \).
• For \( D(0, -2) \): \( x = 0\to - 0=0 \), \( y=-2 \) remains. So \( D'(0, -2) \).
• For \( E(0, 8) \): \( x = 0\to - 0 = 0 \), \( y = 8 \) remains. So \( E'(0, 8) \).
• For \( F(-10, 8) \): \( x=-10\to -(-10)=10 \), \( y = 8 \) remains. So \( F'(10, 8) \).

Answer:

\( C'(10, -2) \), \( D'(0, -2) \), \( E'(0, 8) \), \( F'(10, 8) \)