Question

Question 5 (25. pts)

What can you conclude about your observations in Question 4? What happened as you moved P, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all points that lie on a figure or shape?​

Answer 1

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Explanation: