# Lesson 16

More Symmetry

Let’s describe more symmetries of shapes.

### Problem 1

For each figure, identify any angles of rotation that create symmetry.

### Problem 2

A triangle has rotation symmetry that can take any of its vertices to any of its other vertices. Select all conclusions that we can reach from this.

A:

All sides of the triangle have the same length.

B:

All angles of the triangle have the same measure.

C:

All rotations take one half of the triangle to the other half of the triangle.

### Problem 3

Select all the angles of rotation that produce symmetry for this flower.

A:

45 degrees

B:

90 degrees

C:

135 degrees

D:

180 degrees

E:

225 degrees

F:

270 degrees

### Problem 4

Identify any lines of symmetry the figure has.

(From Unit 1, Lesson 15.)

### Problem 5

A triangle has a line of symmetry. Select all conclusions that must be true.

A:

All sides of the triangle have the same length.

B:

All angles of the triangle have the same measure.

C:

No sides of the triangle have the same length.

D:

No angles of the triangle have the same measure.

E:

Two sides of the triangle have the same length.

F:

Two angles of the triangle have the same measure.

(From Unit 1, Lesson 15.)

### Problem 6

Here are 4 triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?

A:
B:
C:
D:
(From Unit 1, Lesson 10.)

### Problem 7

Match each directed line segment with the translation from Polygon $$P$$ to Polygon $$Q$$ by that directed line segment.

(From Unit 1, Lesson 12.)