Notes Transformations: Rotations
Notes Transformations: Rotations
Let’s take a look at some real life application of rotations:
|A _________ is a transformation that turns a figure about a fixed point |[pic] |
|called the __________________. Rays drawn from the center of rotation to a | |
|point and its image form an angle called the _______________. An object and | |
|its rotation are the _______________________, but the figures may be | |
|_____________________ | |
|__________________________________. | |
|Rotations are ______________! | |
Some practices of what rotations look like:
A (2,3) B (3,-2) C (–2,1)
|90 Clockwise |90 Counterclockwise |
|Coordinates of Pre- Image |Coordinates of Pre- Image |
|Coordinates of the Image (after Rotation) |Coordinates of the Image (after Rotation) |
| | |
|A(2,3) |A (2,3) |
| | |
| | |
|B (3,-2) |B (3,-2) |
| | |
| | |
|C (-2,1) |C (-2,1) |
| | |
| | |
| | |
|180 Clockwise |180 Counterclockwise |
|Coordinates of Pre- Image |Coordinates of Pre- Image |
|Coordinates of the Image (after Rotation) |Coordinates of the Image (after Rotation) |
| | |
|A (2,3) |A (2,3) |
| | |
| | |
|B (3,-2) |B (3,-2) |
| | |
| | |
|C (-2,1) |C (-2,1) |
| | |
| | |
| | |
|270 Clockwise |270 Counterclockwise |
|Coordinates of Pre- Image |Coordinates of Pre- Image |
|Coordinates of the Image (after Rotation) |Coordinates of the Image (after Rotation) |
| | |
|A (2,3) |A(2,3) |
| | |
| | |
|B (3,-2) |B (3,-2) |
| | |
| | |
|C (-2,1) |C (-2,1) |
| | |
| | |
| | |
|360 Clockwise |360 Counterclockwise |
|Coordinates of Pre- Image |Coordinates of Pre- Image |
|Coordinates of the Image (after Rotation) |Coordinates of the Image (after Rotation) |
| | |
|A (2,3) |A(2,3) |
| | |
| | |
|B (3,-2) |B (3,-2) |
| | |
| | |
|C (-2,1) |C (-2,1) |
| | |
| | |
See if you could come up with the rules for rotation!
|Degrees of Rotation |Clockwise Rule |Counterclockwise Rule |
|90 | | |
| | | |
|180 | | |
| | | |
|270 | | |
| | | |
|360 | | |
| | | |
Ex. 1) Draw the rotation of [pic] under a rotation of 90°
counterclockwise about the origin.
Give the coordinates of [pic].
Ex. 2) Draw the rotation of [pic] under a rotation of 180°
about the origin.
Give the coordinates of [pic].
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