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16 Cards in this Set
- Front
- Back
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Reflection over the x-axis |
Change sign of y-axis ex. (2,3) --> (2,-3) |
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Reflection over the y-axis |
Change sign of the x-axis ex. (-5,7) --> (5,7) |
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Reflection over y=x |
Swap the x and y values ex. (8,2) --> (2,8) |
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Reflection over y=-x |
Swap the x and y values and change the sign of both x and y ex. (4,-2) --> (2,-4) |
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Reflection over x=a number |
Vertical line of reflection Rules: points are the same distance from the line of reflection |
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Reflection over y=a number |
Horizontal line of reflection Rules: points are the same distance from the line of reflection |
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Translation |
Plug x and y into the equation to find the new image ex. A( 3, 5) B (6,0) C (9,7) (x,y) --> (x-3, y+8) A ( 0, 2) B (3, 8) C (6, 15) |
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Rotation 90 degrees counterclockwise (270 degrees clockwise) |
(x,y)--> (-y,x) ex. (3,-6)--> (6,3) |
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Rotation 180 degrees counterclockwise (180 degrees clockwise) |
(x,y)--> (-x,-y) ex. (-4,9)--> (4,-9) |
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Rotation 270 degrees counterclockwise (90 degrees clockwise) |
(x,y)--> (y,-x) ex. (7,-9)--> (-9,-7) |
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Rotation Counterclockwise |
Turn Left Positive Rotation |
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Rotation Clockwise |
Turn Right Negative Rotation |
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Line of Symmetry |
A figure has line symmetry if the figure can be mapped onto itself by a reflection in a line. (Think of a mirror image) |
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Point Symmetry |
A figure has point symmetry if the figure is mapped onto itself by rotation the figure 180 degrees about a center point. ( This means it looks the same upside down) |
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Rotational Symmetry |
A figure has rotational symmetry if the figure is mapped onto itself by rotation the figure less than 360 degrees about a center point. (Think of a pinwheel) |
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Dilation |
Multiply each value in the coordinate pair (x,y) by the scale factor |
