Question

1. reflection across the x - axis

a) g(2,3),f(4,1),h(5,2)
b) h(1, - 4),g(4, - 3),f(2, - 5)
c) g(-2, - 3),f(-4, - 1),h(-5, - 2)
d) h(5, - 2),g(2, - 3),f(4, - 1)

Explanation:

Step1: Recall reflection rule

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

Step2: Identify original points

Assume original points of $G$, $F$, $H$ are $G(2,3)$, $F(4,1)$, $H(5,2)$ (by counting grid - squares).

Step3: Apply reflection rule

For point $G(2,3)$, after reflection across the x - axis, it becomes $G'(2, - 3)$.
For point $F(4,1)$, after reflection across the x - axis, it becomes $F'(4,-1)$.
For point $H(5,2)$, after reflection across the x - axis, it becomes $H'(5,-2)$.

Answer:

D. $H(5, - 2),G(2,-3),F(4,-1)$