1.6 CLASSIFY POLYGONS

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# 1.6 CLASSIFY POLYGONS - PowerPoint PPT Presentation

1.6 CLASSIFY POLYGONS. Objectives. Identify and name polygons. T. Y. P. A. C. X. U. D. B. W. V. Q. R. Polygons. Polygon – a closed figure whose sides are formed by a finite number of coplanar segments

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Presentation Transcript
Objectives
• Identify and name polygons.

T

Y

P

A

C

X

U

D

B

W

V

Q

R

Polygons
• Polygon– a closed figure whose sides are formed by a finite number of coplanar segments
• We name a polygon by using the letters of its vertices, written in consecutive order.
Types of Polygons
• If the lines of any segment of the polygon are drawn and any of the lines contain points that lie in the interior of the polygon, then it is concave.
• Otherwise, it is convex (no points of the lines are in the interior).
Classifying Polygons
• Polygons are classified by the number of sides they have. A polygon with n number of sides is an n-gon.

PolygonNumber of Sides

Triangle 3

Pentagon 5

Hexagon 6

Heptagon 7

Octagon 8

Nonagon 9

Decagon 10

Dodecagon 12

Regular Polygons
• If all the sides are congruent in a polygon it is said to be equilateral.
• If all the interior angles are congruent in a polygon it is said to be equiangular.
• A convex polygon in which all of the sides and all of the angles are congruent, in other words it is equilateral and equiangular, is called a regular polygon.

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Example 1a:

Name the polygon by its number of sides. Then classify it as convex or concave, regular or irregular.

There are 4 sides, so this is a quadrilateral.

No line containing any of the sides will pass through the interior of the quadrilateral, so it is convex.

The sides are not congruent, so it is irregular.

Example 1b:

Name the polygon by its number of sides. Then classify it as convex or concave, regular or irregular.

There are 9 sides, so this is a nonagon.

A line containing some of the sides will pass through the interior of the nonagon, so it is concave.

The sides are not congruent, so it is irregular.

Name each polygon by the number of sides. Then classify it as convex or concave, regular or irregular.

a.

b.