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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(? , ?)