Question

which coordinate is the same as the x - coordinate of point g?
g(-2,4) g(4,-2)

1. opposite of y - coordinate of point g
2. opposite of x - coordinate of point g
3. y - coordinate of point g
4. x - coordinate of point g

Explanation:

Step1: Identify coordinates

Point \( G(-2, -4) \) and \( G'(4, -2) \).

Step2: Analyze \( x \)-coordinate

Original \( x \)-coordinate of \( G \) is \( -2 \), \( x \)-coordinate of \( G' \) is \( 4 \). Not same.

Step3: Analyze \( y \)-coordinate

Original \( y \)-coordinate of \( G \) is \( -4 \), \( y \)-coordinate of \( G' \) is \( -2 \). Not same.

Step4: Analyze opposite of \( x \)-coordinate

Opposite of \( x \)-coordinate of \( G(-2) \) is \( 2
eq 4 \).

Step5: Analyze opposite of \( y \)-coordinate

Opposite of \( y \)-coordinate of \( G(-4) \) is \( 4 \), which is the \( x \)-coordinate of \( G'(4) \).

Answer:

A. Opposite of \( y \)-coordinate of point \( G \)