IM 8.1.8 Practice: Rotation Patterns

For the figure shown here, rotate segment CD 180 degrees around point D.

For the figure shown here, rotate segment CD 180 degrees around point E.

For the figure shown here, rotate segment CD 180 degrees around point M.

Here is an isosceles right triangle.

Draw these three rotations of triangle ABC together in the applet below:
  1. Rotate triangle ABC 90 degrees clockwise around A.
  2. Rotate triangle ABC 180 degrees around A.
  3. Rotate triangle ABC 270 degrees clockwise around A.

Each graph shows two polygons ABCD and A'B'C'D'.

Describe a sequence of transformations that takes to .

Describe a sequence of transformations that takes to .

Lin says that she can map Polygon A to Polygon B in the applet below using only reflections. Do you agree with Lin? Explain your reasoning.