Question

F (-5,5) N (-3,0) U (-1,4) For △FUN
, x=−1
. What are the coordinates for F'
after a reflection?

(1 point)
Responses

F′(5,−5)
upper F prime left parenthesis 5 comma negative 5 right parenthesis

F′(−5,−5)
upper F prime left parenthesis negative 5 comma negative 5 right parenthesis

F′(−1,4)
upper F prime left parenthesis negative 1 comma 4 right parenthesis

F′(3,5)

Answer 1

To find the coordinates of point F' after a reflection of point F(-5, 5) across the line x = -1, we first need to determine the distance of point F from the line x = -1.

1. The x-coordinate of point F is -5.
2. The line of reflection is x = -1.

The distance from F to the line x = -1 is calculated as follows:

\[
\text{Distance} = -1 - (-5) = -1 + 5 = 4
\]

Since we are reflecting, we need to move the same distance from the line in the opposite direction. So we add this distance of 4 to -1:

\[
\text{New x-coordinate} = -1 + 4 = 3
\]

The y-coordinate remains the same because we are reflecting over a vertical line, so the new coordinates for F' are:

\[
F' = (3, 5)
\]

So, we simply need to check the provided options. However, the correct reflection point (3, 5) does not appear in the responses.

If there's a misunderstanding based on my analysis or more information, please clarify or provide additional context, and I'll be glad to assist!