Transformation Coordinate Rules

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Geometry & Trigonometry

Last updated 1:13 AM on 6/12/26

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1

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Reflection across the x-axis: $(x,y)$

$(x,-y)$

2

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Reflection across the y-axis: $(x,y)$

$(-x,y)$

3

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Reflection across $y=x$ : $\left(x,y\right)$

$(y,x)$

4

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Reflection across $y=-x$ : $(x,y)$

$(-y,-x)$

5

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Rotation 90° counterclockwise or 270° clockwise: $(x,y)$

$(-y,x)$

6

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Rotation 180° clockwise or counterclockwise: $(x,y)$

$(-x,-y)$

7

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Rotation 270° counterclockwise or 90° clockwise: $(x,y)$

$(y,-x)$