Lesson 5 Symmetries of Regular Polygons Solidify Understanding
1.
What is the smallest fraction of a full circle that the wagon wheel needs to turn in order to appear the very same as it does now? How many degrees of rotation would that be?
2.
What is the smallest fraction of a full circle that the propeller needs to turn in order to appear the very same as it does right now? How many degrees of rotation would that be?
3.
What is the smallest fraction of a full circle that the Ferris wheel needs to turn in order to appear the very same as it does right now? How many degrees of rotation would that be?
4.
Draw the lines of symmetry for each regular polygon. Fill in the table, including an expression for the number of lines of symmetry in an
Number of Sides | Number of Lines of Symmetry |
---|---|
5.
Draw all of the diagonals in each regular polygon. Fill in the table and find a pattern. Is the pattern linear, exponential, or neither? How do you know? Attempt to find an expression for the number of diagonals in an
Number of Sides | Number of Diagonals |
---|---|
6.
Find the angle(s) of rotation that will carry the
7.
What are the angles of rotation for a
8.
What are the angles of rotation for a
9.
A regular polygon has rotational symmetry for an angle of
10.
A regular polygon has rotation symmetry for an angle of
Use tools to make your work precise.
11.
Reflect point
12.
Reflect point
13.
Reflect triangle
14.
Reflect parallelogram
15.
Given triangle
16.
Given parallelogram