Rotational Symmetry of Regular Polygons

How many times does an EQUILATERAL TRIANGLE rotate onto itself until it is back to the beginning? Include the rotation 360°.

Choose the list that includes all Rotational Symmetries for an EQUILATERAL TRIANGLE.

How many times does a SQUARE rotate onto itself until it is back to the beginning? Include the rotation 360°.

Choose the list that includes all Rotational Symmetries for a SQUARE.

How many times does a REGULAR PENTAGON rotate onto itself until it is back to the beginning? Include the rotation 360°.

Choose the list that includes all Rotational Symmetries for a REGULAR PENTAGON.

Where is the point of rotation in each of the applets above?

What do you notice about the number of times a regular polygon will rotate onto itself? What relationship do you see?

Given the number of sides of an object, and that each full rotation is 360 degrees, how could you determine each degree of rotation for any regular polygon?

Based on the patterns you described above, how many times does a REGULAR HEXAGON rotate onto itself until it is back to the beginning? Include the rotation 360°.

Using the pattern/formula you described earlier, list all degrees of rotation that will carry a REGULAR HEXAGON onto itself. (Only enter the numbers).

How many times did the rectangle land onto itself?

What degrees of rotation landed a rectangle back onto itself? (Only enter the numbers)

How many times did the trapezoid land onto itself?

What degrees of rotation landed a trapezoid back onto itself? (Only enter the numbers)

Summarize in at least 3 sentences what you learned from this discovery applet. Include words such as regular polygon, non-regular polygon, rotational symmetry, sides, degrees of rotation, etc.