Question

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

E (2, 1), F (−4, −2), G (6, −4)
E (−8, 4), F (16, −8), G (−24, −16)
E (−8, −4), F (16, 8), G (−24, 16)
E (4, 8), F (−8, 16), G (16, −24)

Answer 1

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

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.