PPT Presentation on Math Solid M
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Transcript of PPT Presentation on Math Solid M
![Page 1: PPT Presentation on Math Solid M](https://reader036.fdocuments.us/reader036/viewer/2022062401/577ccd0f1a28ab9e788b625f/html5/thumbnails/1.jpg)
6.1 Exploring Polygons
Created by Cathy and Jim Carroll
•Convex and Concave Polygons
•Parts of a Polygon•Classifying Polygons
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Convex or Concave?A Polygon is a plane figure formed by three or more segments.A Polygon can either be convex or concave.
If a polygon is convex then no sides go through the interior of the polygon.
(All vertices point outside the polygon.)
If a polygon is concave then it is not convex. A side goes through the interior of the polygon. (At least one vertex points inside the polygon.)
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Example 1:Which figures are polygons?
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Example 1:Which figures are polygons?
polygon polygon polygon
polygon
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Example 2:Label the polygons as convex or concave?
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Example 2:Label the polygons as convex or concave?
convex concave concave convex
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Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices Interior Angles Exterior Angles
Perimeter AreaSides
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Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices
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Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices Interior Angles
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Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices Interior Angles Exterior Angles
![Page 11: PPT Presentation on Math Solid M](https://reader036.fdocuments.us/reader036/viewer/2022062401/577ccd0f1a28ab9e788b625f/html5/thumbnails/11.jpg)
Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices Interior Angles Exterior Angles
Sides
![Page 12: PPT Presentation on Math Solid M](https://reader036.fdocuments.us/reader036/viewer/2022062401/577ccd0f1a28ab9e788b625f/html5/thumbnails/12.jpg)
Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices Interior Angles Exterior Angles
Perimeter
Add all sides
Sides
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Parts of a polygonThe simplest polygon is a triangle. Many of the terms you learned about a triangle apply to all polygons. Remind yourself of what the following terms mean.Vertices Interior Angles Exterior Angles
Perimeter AreaSides
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Parts of a polygonIn more complex polygons there are more parts.Learn these new terms:
Diagonal RegularConsecutive
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Parts of a polygonIn more complex polygons there are more parts.Learn these new terms:
Refers to parts that are right next to each other.(They share a common vertex or side.)
Diagonal RegularConsecutive
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Parts of a polygonIn more complex polygons there are more parts.Learn these new terms:
Diagonal RegularConsecutive
Joins two nonconsecutive vertices.(Notice the triangle does NOT have any
diagonals.)
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Parts of a polygonIn more complex polygons there are more parts.Learn these new terms:
A polygon that is equilateral and equiangular.)
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Diagonal RegularConsecutive
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Classifying Polygons
A Polygon is classified by its’ number of sides.
34567891012n n - gon
DodecagonDecagonNonagonOctagonHeptagonHexagonPentagon
QuadrilateralTriangle
Number of Sides Type of Polygon
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Example:The perimeter of the pentagon is 20. Solve for X.
X+1 2X
2X-1
X + 6
X
Remember what perimeter means
The Sum of all the sides
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Example:The perimeter of the pentagon is 20. Solve for X.
X+1 2X
2X-1
X + 6
X
(X+ 1) + (2X) +(X) + (2x-1) + (x+6 )= 20
Combine like terms and solve
7X + 6 = 207 X = 14X = 2
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THE ENDIf you need more help, try:
• Your textbook
• The DVD station
• Your partner
• A Peer Tutor
• The teacher