# More Symmetry

ID: misaj-fasiv Illustrative Math
Subject: Geometry

# More Symmetry

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##### 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? a) $\text{Transformation A}$b) $\text{Transformation B}$c) $\text{Transformation C}$d) $\text{Transformation D}$
##### 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 ﻿$w$﻿.