IM 8.1.9 Practice: Moves in Parallel
Draw parallel lines AB and CD. Pick any point E. Rotate AB 90 degrees clockwise around E. Rotate CD 90 degrees clockwise around E.
What do you notice?
Use the diagram to find the measure of the angle indicated. Explain your reasoning.
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Points P and Q are plotted on a line. Move point R so that a 180-degree rotation with center R sends P to Q and Q to P.
Is there more than one point that works?
In the picture triangle A'B'C' is an image of triangle ABC after a rotation. The center of rotation is D.
What is the length of side ? Explain how you know.
What is the measure of angle ? Explain how you know.
What is the measure of angle ? Explain how you know.
The point is rotated 180 degrees counterclockwise using center . What are the coordinates of the image?