Rotation Symmetry of Regular Polygons
An applet is used to explore the rotation symmetry of regular polygons.
If a 2-D figure or shape is rotated (or turned) around a point by a certain angle and looks the same as the original figure or shape then it has a rotation symmetry.
In this tutorial you will explore the rotation symmetry of regular polygons.
Interactive Tutorial (Answers to questions in this tutorial are located at the bottom of this page).
1 - Press the button above to start the applet.
2 - Use the top slider to set n, the number of sides of the regular polygon, to 3 to have an equilateral triangle. Use the slider " angle of rotation" to rotate the triangle. Note the smallest angle for which the two triangles, the blue which is the original one and the red (after rotation) are in the same position.
3 - Repeat activity 3 above for n = 4, 5, 6 ....
4 - What is the smallest angle of rotation for which two regular polygons with sides n have the same position? Find a formula.
Answers to Above Questions
Answer to question in part 2: angle of rotation for equilateral triangle is equal to 120 degrees.
Answer to questions in part 3:
| n || || angle of rotation|
| 4 || || 90 degrees|
| 5 || || 72 degrees|
| 6 || || 60 degrees|
Answer to questions in part 4: angle of rotation = 360 / n.
More geometry references
Geometry Tutorials, Problems and Interactive Applets.
Find the Inverse Functions - Online Calculator
Free Online Graph Plotter for All Devices
Home Page --
HTML5 Math Applets for Mobile Learning --
Math Formulas for Mobile Learning --
Algebra Questions -- Math Worksheets
Free Compass Math tests Practice
Free Practice for SAT, ACT Math tests
Precalculus Tutorials --
Precalculus Questions and Problems
Precalculus Applets --
Equations, Systems and Inequalities
Online Calculators --
Geometry Tutorials --
Geometry Calculators --
Calculus Tutorials --
Calculus Questions --
Applied Math --
Math Software --
High School Math --
Middle School Math --
Math Videos From Analyzemath
Updated: 2 April 2013
Copyright © 2003 - 2014 - All rights reserved