How Do We Graph Rotations?
Definition of a Rotation
- A rotation is when a geometric figure is turned around a single point
Examples:
Describing a Rotation
1) Angle of rotation
2) A direction ( clockwise or counter clockwise, do as directed)
3) A center of rotation
- When graphing rotations you can also switch the coordinates accordingly, depending on the degree of the rotation :
90 degrees = ( x,y) -> (-y,-x)
180 degrees = (x,y) -> (-x,-y )
270 degrees = ( x,y) -> (y,-x)
An example problem is: What is the image of the coordinates (-4,-5) under the transformation ry-axis?
Answer : (4,-5)
These all look great. Sample problems for each would be great. For this one, be sure it's a rotation, not a reflection...
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