Question

Identify the reflection of the figure with vertices E(8,4), F(-16,-8), and G(24,-16) across the y-axis.

Answer 1

Answer:

$\boxed{\text{E ' (-8, 4), F ' (16,-8), G ' (-24,-16)}}$

Step-by-step explanation:

When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

E (8,4) ⟶ E' (-8,4)

F (-16,-8) ⟶ F' (16,-8)

G (24,-16) ⟶ G' (-24,-16)

$\text{The reflected figure has coordinates } \boxed{\textbf{E ' (-8, 4), F ' (16,-8), G ' (-24,-16)}}$

The figure EFG and its reflection E'F'G' are shown in the diagram below.