4.8 Vocabulary and Transformation
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13 terms
Terms | Definitions |
|---|---|
 Transformation | An operation that moves or changes a geometric figure in some way to produce a new figure. |
| New Figure | Image |
| Translation | Moves every point of a figure the same distance in the same direction |
| Reflection | Uses a line of reflection to create a mirror image of the original figure |
| Rotation | Turns a figure about a fixed point, called the center of rotation |
| Congruence transformation | Changes the position of the figure without changing its size or shape |
| Coordinate notation for a Translation | (x,y) → (x+a, y+b) shows that each point of the original figure is translated horizontally |
| Reflection in the x-axis | Multiply the y-coordinate by -1 (x,y) → (x, -y) |
| Reflection in the y-axis | Multiply the x-coordinate by -1 (x,y) → (-x,y) |
| 90 degrees clockwise Rotation | Multiply the x coordinate by -1 and change the role of x and y (y, -x) |
| 90 degrees equals | 270 degrees |
| 90 degrees counterclockwise rotation | Multiply the y coordinate by -1 and change the role of x and y (-y,x) |
| 180 degrees rotation | Clockwise and counterclockwise. (-x,-y) |
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