Podcast
Questions and Answers
What is the minimum number of line segments required to form a polygon?
What is the minimum number of line segments required to form a polygon?
- 2
- 3 (correct)
- 5
- 4
What are the endpoints of the segments of a polygon called?
What are the endpoints of the segments of a polygon called?
- Edges
- Vertices (correct)
- Angles
- Sides
What is the definition of an exterior angle in a polygon?
What is the definition of an exterior angle in a polygon?
- An angle inside the polygon
- An angle that is less than 90 degrees
- An angle that contains points outside the polygon (correct)
- An angle that is greater than 90 degrees
What is the characteristic of a regular polygon?
What is the characteristic of a regular polygon?
What is the name of a regular polygon with 5 sides?
What is the name of a regular polygon with 5 sides?
What is the characteristic of an irregular polygon?
What is the characteristic of an irregular polygon?
What determines the interior and exterior angles of a polygon?
What determines the interior and exterior angles of a polygon?
What is the characteristic of an isosceles triangle?
What is the characteristic of an isosceles triangle?
What is the definition of a convex polygon?
What is the definition of a convex polygon?
What is the characteristic of a concave polygon?
What is the characteristic of a concave polygon?
What is the definition of a simple polygon?
What is the definition of a simple polygon?
What is the characteristic of a complex polygon?
What is the characteristic of a complex polygon?
Why is a circle not a polygon?
Why is a circle not a polygon?
What is a characteristic of a non-polygon shape?
What is a characteristic of a non-polygon shape?
What type of shape is the last shape in Figure 5?
What type of shape is the last shape in Figure 5?
Study Notes
Characteristics of a Polygon
- A polygon is a two-dimensional object consisting of a sequence of at least three segments of a line.
- The endpoints of the segments are called vertices, and the segments are called sides or edges.
- Each pair of consecutive sides of a polygon determines two angles: an interior and an exterior angle.
- An exterior angle is one that contains points outside the polygon, and the interior angle is the other angle by exclusion.
Types of Polygons
- Regular Polygons: Equilateral and equiangular, with congruent sides and interior angles.
- Irregular Polygons: Not regular, with at least one pair of sides or interior angles that are not congruent.
- Concave Polygons: A polygon that is not convex, with a segment where the endpoints are inside the polygon, but there are points on the segment that are exterior to the polygon.
- Convex Polygons: A polygon where any two interior points determine a segment of line totally contained in the polygon.
- Simple Polygons: Segments of a polygon intersect only on the vertices.
- Complex Polygons: Segments of a polygon intersect on points that are not vertices of the polygon.
Shapes that are Not Polygons
- Circles: Not polygons, as they do not consist of segments of a line.
- Shapes with non-straight sides: Not polygons, as they do not meet the definition of a polygon.
- Open shapes: Not polygons, as they are not closed.
- Three-dimensional shapes: Not polygons, as they are not two-dimensional.
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Description
Learn about the definition and properties of polygons, including their sides, vertices, and angles.
