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