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In this video, I explain the terminology "curve" and how it is used to describe anything you can draw on a piece of paper. Then I explain how curves can have certain characteristics such as being simple, closed, or convex. When a curve is simple and closed and made up of only straight line segments, it is also called a polygon. Regular polygons are polygons with the characteristic that all sides are the same length and all interior angles are the same measure. Regular polygons are always convex.
This is Part 8 in my Geometry Chapter Playlist for MGF1106.
• Geometry For Liberal A...
Section 2 of our Textbook (based on Mathematical Ideas, 14th ed., Miller, Hornsby, and Heeren)
Part 8: Categories of Plane Curves and Polygons
Part 9: Categories of Triangles and Quadrilaterals
Part 10: Angle measures inside Triangles
Part 11: Vocabulary of Circles