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Points Reflected over an Axis

Question
Wale
Point G is located at (-6,-6) on the coordinate plane. Point G is
create point G. Point G is then reflected over the z-axis to create
describes the location of G"?

Points Reflected over an Axis Question Wale Point G is located at (-6,-6) on the coordinate-example-1

1 Answer

2 votes

Point G at (-6, -6) reflected over the y-axis (assuming the question meant y-axis instead of z-axis) will have coordinates (6, -6).

The question involves the concept of reflecting a point over an axis in a Cartesian coordinate system. When Point G, which is at coordinates (-6, -6), is reflected over the z-axis, it is important to remember that there is a misunderstanding in the question, as there is no z-axis in two-dimensional space. Assuming that the question implies reflection over the y-axis (as the z-axis would imply three dimensions), the coordinates of Point G after reflection would be the mirror image across the y-axis. This means that the x-coordinate will change sign, while the y-coordinate will remain the same. Therefore, after reflection, Point G will be at (6, -6).

To reflect a point over the z-axis, we need to switch the sign of the x-coordinate and keep the y-coordinate the same.

Given that G is located at (-6, -6), when we reflect G over the z-axis, the x-coordinate changes to 6 and the y-coordinate remains as -6. Therefore, the new location of G after reflection is (6, -6).

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