Question

△ efg has coordinates e(-2, -4), f(-8, 0), and g(-5, 3). what are the coordinates of the vertices of the image after a reflection in the x - axis? a) e(2, -4), f(8, 0), and g(5, 3) b) e(4, 2), f(0, 8), and g(-3, 5) c) e(-2, 4), f(-8, 0), and g(-5, -3) d) e(4, -2), f(0, 8), and g(3, -5)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the x - axis, the rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to point E

Given $E(-2,-4)$, after reflection over the x - axis, $E'$ has coordinates $(-2,4)$.

Step3: Apply rule to point F

Given $F(-8,0)$, after reflection over the x - axis, $F'$ has coordinates $(-8,0)$ (since $y = 0$, $-y=0$).

Step4: Apply rule to point G

Given $G(-5,3)$, after reflection over the x - axis, $G'$ has coordinates $(-5,-3)$.

Answer:

C) $E'(-2,4),F'(-8,0),G'(-5,-3)$