# Lesson 8

Rotation Patterns

Let’s rotate figures in a plane.

### Problem 1

For the figure shown here,

1. Rotate segment $$CD$$ $$180^\circ$$ around point $$D$$.
2. Rotate segment $$CD$$ $$180^\circ$$ around point $$E$$.
3. Rotate segment $$CD$$ $$180^\circ$$ around point $$M$$.

### Problem 2

Here is an isosceles right triangle:

Draw these three rotations of triangle $$ABC$$ together.

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 $$A$$.

### Problem 3

Each graph shows two polygons $$ABCD$$ and $$A’B’C’D’$$. In each case, describe a sequence of transformations that takes $$ABCD$$ to $$A’B’C’D’$$.

1.
2.
(From Unit 1, Lesson 5.)

### Problem 4

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

(From Unit 1, Lesson 4.)