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Video: Identifying the Number of Polygons in a Figure

Kathryn Kingham

How many polygons are there in the following figure?<Figure>

01:10

Video Transcript

How many polygons are there in the following figure?

A polygon is a plane shape with straight sides. How many of those plane shapes with straight sides are in this figure? Well here’s a rectangle. It’s a plane shape with straight sides. And here’s a second rectangle.

What about this shape? Does this shape qualify as a polygon? No, these four shapes are not polygons. They can’t qualify as polygons, because they have a curved side or a curved edge. However, there is actually one more polygon in this figure. If you take the two smaller rectangles and put them together, they make one larger rectangle, which accounts for the third polygon in this figure. Three polygons are in the figure.