Investigating Similarity of regular polygons
We have seen that all circles are similar, and that all squares are similar.
Is it true that all regular shapes, with the same number of sides, are similar?
NOTE: Regular polygons have equal sides and equal angles.
Investigate further using the Geogebra applet below.
Are all squares similar to each other?
You can change the size and orientation by moving the blue dots.
What did you discover?
Are all regular polygons, with the same number of sides, similar to each other?
Examples of regular polygons are:
Polygons are named according to their number of sides:
