Use the image to answer the question. The point (5, 10) is reflected across the x -axis. What are the coordinates of the reflected point? Responses (10, 5) (10, 5) - no response given (−5, 10) (−5, 10) - no response given (−5, −10) (−5, −10) - no response given (5, −10)
The coordinates of the reflected point across the x-axis would be (5, -10).
The point (5, 10) is reflected across the x-axis, which means that its y-coordinate will change sign (positive to negative or negative to positive), while the x-coordinate remains the same. Therefore, the coordinates of the reflected point would be (5, -10).
To answer the question using the given image, we can observe that the x-axis is a horizontal line that passes through the point (5, 10). Reflecting a point across the x-axis simply means that we flip the point over this line.
To do this, we keep the y-coordinate the same and change the sign of the x-coordinate. In other words, if the original point is (x, y), the reflected point will be (-x, y) after reflection across the x-axis.
Using this logic, the reflected point of (5, 10) across the x-axis would be (-5, 10).
Therefore, the correct answer is (-5, 10).
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