pgs. 359-366 Thy · Example 1: Naming and Classifying Polygons Name the following polygon and...

4 7.1 pgs. 359-366 EQ: How do we classify and name polygons? Date: These are polygons: These are not polygons: * Polygon: ___________________________________________________________________________ _____________________________________________________________________________ * Convex Polygon: * Concave Polygon *Regular Polygon Example 1: Naming and Classifying Polygons Name the following polygon and identify its sides and angles. Name: _____________ Sides: ___________________________ Angles: __________________________ Classify each polygon below by stating if it is convex, concave, or regular, and using the chart to identify it by the number of sides. a. b. c. d. e. f. Sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon n n-gon A T N C R Thy 420 A shape with straight closed sides that only intersect at vertices A 0 All angles y are and All angles point Ifanyw vertexis must be out pointing in convex ACNRT AT EN TRT FA LA LC LN LR LT Concave convex Hexagon Pentagon Convex Concave Quadrilateral Heptagon Concave Regular Dodecagon Octagon 11 gon B gon

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Transcript of pgs. 359-366 Thy · Example 1: Naming and Classifying Polygons Name the following polygon and...

Page 1: pgs. 359-366 Thy · Example 1: Naming and Classifying Polygons Name the following polygon and identify its sides and angles. Name: _____ ENSides: _____ Angles: _____4 Classify each

7.1 pgs. 359-366

EQ: How do we classify and name polygons? Date:

These are polygons: These are not polygons:

* Polygon: ___________________________________________________________________________ _____________________________________________________________________________

* Convex Polygon: * Concave Polygon *Regular Polygon Example 1: Naming and Classifying Polygons

Name the following polygon and identify its sides and angles.

Name: _____________

Sides: ___________________________

Angles: __________________________

Classify each polygon below by stating if it is convex, concave, or regular, and using the chart to identify it by the number of sides. a. b.

c. d.

e. f.

Sides

Name

3 Triangle

4 Quadrilateral

5 Pentagon

6 Hexagon

7 Heptagon

8 Octagon

9 Nonagon

10 Decagon

12 Dodecagon

n n-gon

A T

Thy420

Ashape with straight closed sides thatonlyintersectat vertices

A 0 All anglesy are

andAll anglespoint Ifanyw vertexis mustbeout pointing in convex

ACNRTATEN TRT FALALCLN LR LT

Concave convexHexagon Pentagon

ConvexConcave

Quadrilateral Heptagon

Concave RegularDodecagon Octagon

11gonB gon

Page 2: pgs. 359-366 Thy · Example 1: Naming and Classifying Polygons Name the following polygon and identify its sides and angles. Name: _____ ENSides: _____ Angles: _____4 Classify each

Investigation: Sum of Interior Angles of a Polygon Choose one vertex in each shape below. From that one vertex only, draw in as many diagonals as possible. Count the number of triangles in each shape and fill in the chart to find the sum of the degrees of an interior angle of any polygon.

Shape

Number of Sides

Number of Triangles

Number of Triangles x 180°

Sum of Degrees of Interior Angles

a. Explain how the number of sides of a polygon is related to the number of triangles it contains? _____________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________

b. Use inductive reasoning: What is the sum of the measures of the interior angles of a 30 sided polygon?

2 20

3 1 1 180 1800

2 4 2 2 180 360

3,2 5 3 3 180 5400

4as 6 4 4 180

7200,2347 5 5 1800 9000

5.234 8 6 6 1800 1080u

A convex polygon will always have 2 lesstriangles than the number of sides

30sides228 Triangles so 2861803 50400