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17 Terms
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transformation
a function that changes the size, position, or shape of a figure or graph
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preimage
the original figure, before the transformation
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image
the resulting figure after the transformation of the preimage
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rigid motion
a transformation that does not change the size or shape of a figure
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vector
a quantity that has both direction and magnitude
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component form
the form of a vector that lists the horizontal and vertical change from the initial point
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translation
(x+a, y+b), (x-a, y-b)
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reflection across y-axis
(x,y) ---> (-x,y)
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reflection across x-axis
(x,y) ---> (x,-y)
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reflection across y=x
(x,y) ---> (y,x)
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reflection across y=-x
(x,y) ---> (-y,-x)
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90 degree rotation
(x,y) ---> (-y,x)
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270 degree rotation
(x,y) ---> (y,-x)
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180 degree rotation
(x,y) ---> (-x,-y)
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360 degree rotation
(x,y) ---> (-x,y)
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symmetry
a property of a figure that can be mapped to itself using a transformation such as a reflection or rotation
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line of symmetry
a line that divides a plan figure into two congruent reflected halves