Reflection and Symmetry about the X-Axis
Given the point (-2, 5), which of the following is a point that is symmetrical about the _x_-axis?
Incorrect.
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This is the same point that was given in the question.
Incorrect.
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This point has opposite signs for both the _x_- and _y_-coordinate, which makes it the point symmetrical about the origin.
Incorrect.
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The _x_-coordinate of this point has the opposite sign as the given point, which means that this is the point symmetrical about the _y_-axis.
Correct.
For two points to be symmetrical about the _x_-axis, they must be the same distance from the _x_-axis but in opposite directions. The simplest way to find the point symmetrical about the _x_-axis is to switch the sign of the _y_-coordinate.
Incorrect.
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This point is the origin and it is only symmetrical with itself. Try to think about how symmetry is related to negative signs.
(-2, 5)
(2, -5)
(2, 5)
(-2, -5)
(0, 0)