Download Honors Geometry Lesson 1

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.
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In Geometry, a figure that lies in a plane is called a _________________________.
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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.
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Each endpoint of a side is a __________________ of the polygon.
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A polygon can be named by listing the vertices in consecutive order.
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_______________ and _________________ are both correct names for
the polygon above.
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A polygon is ____________________ is no line that contains a side
of the polygon contains a point in the interior of the polygon.
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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
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In an _______________________ polygon, all sides are congruent.
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In an ____________________ polygon, all angles in the interior of the polygon are congruent.
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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.