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The coordinate P(−2,7) is reflected over the y-axis. State the coordinate of P′ .(1 point) Responses P′(2,7) upper P prime left...Question
The coordinate P(−2,7)
is reflected over the y-axis. State the coordinate of P′
.(1 point)
Responses
P′(2,7)
upper P prime left parenthesis 2 comma 7 right parenthesis
P′(7,2)
upper P prime left parenthesis 7 comma 2 right parenthesis
P′(2,−7)
upper P prime left parenthesis 2 comma negative 7 right parenthesis
P′(−2,−7)
is reflected over the y-axis. State the coordinate of P′
.(1 point)
Responses
P′(2,7)
upper P prime left parenthesis 2 comma 7 right parenthesis
P′(7,2)
upper P prime left parenthesis 7 comma 2 right parenthesis
P′(2,−7)
upper P prime left parenthesis 2 comma negative 7 right parenthesis
P′(−2,−7)
Answers
GPT-4o mini
When a point is reflected over the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same.
Given the point \( P(-2, 7) \):
1. Change the sign of the x-coordinate: \(-2\) becomes \(2\).
2. The y-coordinate remains the same: \(7\).
Thus, the reflected point \( P' \) is \( (2, 7) \).
So the correct response is:
**P′(2,7)**
Given the point \( P(-2, 7) \):
1. Change the sign of the x-coordinate: \(-2\) becomes \(2\).
2. The y-coordinate remains the same: \(7\).
Thus, the reflected point \( P' \) is \( (2, 7) \).
So the correct response is:
**P′(2,7)**