Use the image to answer the question.
Triangle upper F upper U upper N and a dotted line are graphed on a coordinate plane. The x and y-axes range from negative 7 to 7 in increments of 1. The dotted line follows x equals negative 1.
For △FUN
, x=−1
. What are the coordinates for F'
after a reflection?
(1 point)
Responses
F′(−1,4)
upper F prime left parenthesis negative 1 comma 4 right parenthesis
F′(−5,−5)
upper F prime left parenthesis negative 5 comma negative 5 right parenthesis
F′(3,5)
upper F prime left parenthesis 3 comma 5 right parenthesis
F′(5,−5)
upper F prime left parenthesis 5 comma negative 5 right parenthesis
To find the coordinates for F' after a reflection, we need to reflect the point F across the dotted line, which is x = -1.
Since the dotted line is vertical and passes through x = -1, the reflection is the same as finding the point with the same y-coordinate but opposite x-coordinate.
The original coordinates of F are not provided in the question, so we cannot determine the exact coordinates for F'.
To find the coordinates for F' after reflection, we need to reflect F across the line x = -1.
In the given image, the line x = -1 is a vertical line passing through x = -1. To reflect a point across this line, we keep the y-coordinate the same but change the sign of the x-coordinate.
The original coordinates of F are not given in the question. Therefore, we cannot determine the exact answer. We can only explain the process based on the given information.
Let's assume the coordinates of F are (a, b), where a and b are unknown values.
To reflect F across x = -1:
- Keep the y-coordinate the same: b.
- Change the sign of the x-coordinate: -a.
The coordinates of F' after reflection would be (-a, b).
Since we do not know the specific values of a and b, we cannot determine the exact coordinates for F' after reflection. The answer choices provided in the question are incorrect because they assume specific values for a and b.