Count right(if +A)/left(if -A) from the pre-points to the line of reflection (A) and count that same number of times over that line again. Y stays the same, x changes
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Reflection over x = A
Count up(if +A)/down(if -A) from the pre-points to the line of reflection (A) and count that same number of times over that line again. X stays the same, y changes
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Reflect over x-axis
Count up(if +A)/down(if -A) from the pre-points to the x-axis and count that same number over the x-axis. X stays the same, y changes
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Reflect over y-axis
Count right(if +A)/left(if -A) from the pre-points to the y-axis and count that same number over the y-axis. Y stays the same, x changes
Rx, +/- degrees ; x = point of rotation; + degrees = Clockwise, - degrees = Counterclockwise
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Translation
Moving a point or figure across the plane
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Translate (x,y) → (A, 0)
if +A, move right/add, if -A, move left/subtract; Y doesn’t change because y = 0 in this formula.
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Translate (x,y) →(0,B)
if +B, move up/add, if -B, move down/subtract; X doesn’t change because x = 0 in this formula.
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Translation Coordinate Notation
(x,y) →(x+/- a, y+/- b)
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Translation Function Notation
Ta,b
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Dilation
change of size, not shape; NOT ISOMETRY
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Scale factor (K)
determines the size change; if K > 1, it’s an enlargement. If K < 1, it’s a reduction. If K = 1, No change
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Center of dilation
If you connect the corresponding vertices of the image and pre-image, they will meet at a point.
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Dilation Coordinate Notation
(x,y) →\[x(a), y(b)\]
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Dilation Function Notation
Dx/y
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Composition
A sum of all translations in a problem or a combination; represented by small oval in the middle of every transformation function present; WORK LEFT TO RIGHT.
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