Intro to Rotating a Polygon
Definition of a Rotation
On the figure below you can click and drag the red figure and its points as well as the point P.
Dragging the slider to a value greater 0 will rotate the figure about the point P by the corresponding angle measure.
QUESTION 1
P and Q around to different locations and use different angle measures! What do you notice about the length of PQ and PQ'?
QUESTION 2
What happens when you rotate all the way to 360?
Rotations in the Coordinate Plane
Now you will explore 3 common rotations in the coordinate plane.
The rotations will be of 90°, 180°, and 270° and will all be about the origin.
Click and drag the points on the pre-image and use the slider to change the angle of rotation.
List the point of A' for each rotation.
A' after 90 rotation.
If A(1, 2) what is A' after a 90o rotation? A(? , ?)
If A(1, 2) what is A' after a 180o rotation? A(? , ?)
If A(1, 2) what is A' after a 270o rotation? A(? , ?)