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Transcript
Honors Geometry Lesson 1-6: Classify Polygons Learning Target: By the end of today’s lesson we will be able to successfully identify polygons and their properties. • In Geometry, a figure that lies in a plane is called a _________________________. • A __________________ is a closed plane figure with the following properties: – It is formed by three or more line segments called _____________________. – Each side intersects exactly two sides, one at each endpoint so that no two sides with a common endpoint are collinear. • Each endpoint of a side is a __________________ of the polygon. • A polygon can be named by listing the vertices in consecutive order. • _______________ and _________________ are both correct names for the polygon above. • A polygon is ____________________ is no line that contains a side of the polygon contains a point in the interior of the polygon. • A polygon that is not convex is called ___________________. Example 1: Tell whether the figure is a polygon and whether it is convex or concave. Number of Type of Polygon Sides Number of Type of Polygon Sides 3 8 4 9 5 10 6 12 7 n • In an _______________________ polygon, all sides are congruent. • In an ____________________ polygon, all angles in the interior of the polygon are congruent. • A _____________________ polygon is a convex polygon that is both equilateral and equiangular. Example 2: Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Example 3: The head of a bolt is shaped like a regular hexagon. The expressions shown represent side lengths of the hexagonal bolt .Find the length of a side. Example 4: a.) Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. b.) The expressions (4x + 8)° and (5x – 5)° represent the measures of two of the congruent angles in above polygon. Find the measure of an angle.