Transformations
About this set
Created by:
Imagination_Creater on April 28, 2010
Subjects:
Description:
Includes Reflections, Translations, Rotations and Dialations
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13 terms
Terms | Definitions |
|---|---|
 Reflections in the y-axis | Change the sign of the x-coordinate. (x,y)-> (-x,y) |
| Reflection in the x-axis | Change the sign of the y-coordinate. (x,y)-> (x,-y) |
| y=x | (x,Y)-> (y,x) |
| Properties of Reflection | Size is not changed. Shape is not changed. Orientation is changed. |
| Vertical Translation | Add b units to the y-coordinate. In the figure at the right. (x,y) -> (x, y+b) |
| Horizontal translation | Add a units to the x-coordinate. (x,y)-> (x+a, y) |
| Properties of Translation | The size, shape, and orientation of a figure are not changed after translation. Only the position of a figure is changed after translation. After translation, the original figure and its image are congruent. |
| Rotation of 90° Clockwise | To rotate a point, first change the sign of the x-coordinate. Then switch the x and y-coordinates. (x, y)-> (y,-x) |
| Rotation of 90° Counterclockwise | To rotate a point, first change the sign of the y-coordinate, Then switch the x and y-coordinates. (x,y)-> (-y, x) |
| Rotation of 180° | To rotate a point, change the sign of both the x and y- coordinates. (x,y) -> (-x,-Y) |
| Properties of Rotation | The size,shape, and orientation of a figure are not changed after a rotation. After a rotation, a figure and its image are congruent. |
| Dilation Centered at (0,0) | Multiply both the x and y-coordinates by a positive number k, or scale factored. (x,y)->(kx,ky) |
| Properties of Dilation | A figure and its image are similar. This means that the corresponding sides are proportional. The orientation of a figure is not changed under dilation. The shape after dilation is the same but the size is different. |
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