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Question

A coordinate plane shows the x- and y- axes ranging from negative 11 to 11 in increments of 1. The point left parenthesis negative 10 comma 11 right parenthesis is plotted on the plane.
The point (−10, 11)
is reflected across both axes. What are the coordinates of the reflected point?

(1 point)
Responses

(10, 11)
Left Parenthesis 10 comma 11 Right Parenthesis

(−10, −11)
Left Parenthesis negative 10 comma negative 11 Right Parenthesis

(11, −10)
Left Parenthesis 11 comma negative 10 Right Parenthesis

(10, −11)
Left Parenthesis 10 comma negative 11 Right Parenthesis
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Answer 1

To reflect the point \((-10, 11)\) across both the x-axis and y-axis, you follow these steps:

1. Reflect across the x-axis: When a point \((x, y)\) is reflected across the x-axis, the y-coordinate changes sign. Therefore, the point \((-10, 11)\) becomes \((-10, -11)\).

2. Reflect across the y-axis: When a point \((x, y)\) is reflected across the y-axis, the x-coordinate changes sign. The previous point \((-10, -11)\) becomes \((10, -11)\).

Hence, the coordinates of the reflected point are \((10, -11)\).

So, the correct response is: (10, −11).