Question

Use the image to answer the question.



A coordinate plane shows the x- and y- axes ranging from negative 11 to 11 in increments of 1. The point left parenthesis 5 comma 10 right parenthesis is plotted on the plane.
The point (5, 10)
is reflected across the x
-axis. What are the coordinates of the reflected point?

(1 point)
Responses

(5, −10)
Left Parenthesis 5 comma negative 10 Right Parenthesis

(10, 5)
Left Parenthesis 10 comma 5 Right Parenthesis

(−5, −10)
Left Parenthesis negative 5 comma negative 10 Right Parenthesis

(−5, 10)
Left Parenthesis negative 5 comma 10 Right Parenthesis
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Answer 1

When a point \((x, y)\) is reflected across the x-axis, the x-coordinate remains the same, while the y-coordinate changes sign.

For the point \((5, 10)\):

- The x-coordinate is 5 (which remains the same).
- The y-coordinate is 10 (which becomes -10).

Therefore, the coordinates of the reflected point are \((5, -10)\).

So the correct response is:

**(5, −10)**