# More Symmetry

# More Symmetry

##### Problem 1

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

1)

2)

3)

##### Problem 2

4) 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. Write each corresponding letter in the answer box and separate letters with commas.

a) All sides of the triangle have the same length. $\quad\quad\quad$ 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

5) Select **all** the angles of rotation that produce symmetry for this flower. Write each corresponding letter in the answer box and separate letters with commas.

a) 45 degrees $\quad\quad$ b) 90 degrees $\quad\quad$ c) 135 degrees $\quad\quad$ d) 180 degrees $\quad\quad$ e) 225 degrees $\quad\quad$ f) 270 degrees

##### Problem 4

6) Identify any lines of symmetry the figure has.

##### Problem 5

7) A triangle has a line of symmetry. Select **all** conclusions that must be true. Write each corresponding letter in the answer box and separate letters with commas.

a) All sides of the triangle have the same length. $\quad\quad$ b) All angles of the triangle have the same measure.

c) No sides of the triangle have the same length. $\quad\quad$ d) No angles of the triangle have the same measure.

e) Two sides of the triangle have the same length. $\quad\quad$ f) Two angles of the triangle have the same measure.

##### Problem 6

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

##### Problem 7

Match each directed line segment below with the translation from Polygon $P$ to Polygon $Q$ by that directed line segment. Write the number of the corresponding translation in the answer box.

9) Directed line segment $v$.

10) Directed line segment $a$.

11) Directed line segment $u$.

12) Directed line segment $w$.