90 Degree Rotation about ANY POINT: Quick Exploration
Here, the LARGE POINTS are moveable. Go move points around, play around, and explore! Don't forget the slider. :)
Move the slider all the way to the left (so only 1 right triangle shows). Be sure the center of rotation = (0,0).
Move the WHITE POINT and PREIMAGE point anywhere you want. Then answer the following questions. Be sure to number your responses in your answer:
Use this app to answer the next few questions.
Move the center of rotation to (2,1). Move the PREIMAGE point to (3,5). Then slide the slider slowly to the right. In the space below, please answer the following:
Is there any relationship between the slope of the original right triangle and the slope of the right triangle that's been rotated 90 degrees? If so, how would you describe it?
How can we use the following data
to determine the coordinates of the IMAGE of any point rotated 90 degrees about any other point (other than (0,0)) in the coordinate plane? Explain.