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1.6 CLASSIFY POLYGONS - PowerPoint PPT Presentation


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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
Objectives
  • Identify and name polygons.
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
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
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

Quadrilateral 4

Pentagon 5

Hexagon 6

Heptagon 7

Octagon 8

Nonagon 9

Decagon 10

Dodecagon 12

regular polygons
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.

.

example 1a
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.

Answer: quadrilateral, convex, irregular

example 1b
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.

Answer: nonagon, concave, irregular

your turn

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

a.

b.

Your Turn:

Answer: triangle, convex, regular

Answer: quadrilateral, convex, irregular

assignment
Assignment
  • Pre-AP Geometry

Pgs. 44 – 47

#3 – 23, 28 – 30, 40