created by: cathy and jim carroll. convex or concave? a polygon is a plane figure formed by three or...
TRANSCRIPT
![Page 1: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/1.jpg)
8.1 Exploring Polygons
Created by:
Cathy and Jim Carroll
Convex and Concave Polygons
Parts of a Polygon
Regular Polygons
![Page 2: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/2.jpg)
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, when extended, pass through the interior of
the polygon. (All vertices point outside the polygon.)
A polygon is concave when a side that is extended
passes through the interior of the polygon. (At least one vertex points inside the polygon.)
![Page 3: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/3.jpg)
Example 1:
Which figures are polygons?
![Page 4: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/4.jpg)
Example 1:
Which figures are polygons?
polygon polygon polygon
polygon
![Page 5: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/5.jpg)
Example 2:
Label the polygons as convex or concave?
![Page 6: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/6.jpg)
Example 2:
Label the polygons as convex or concave?
convex concave concave convex
![Page 7: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/7.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 AreaSides
![Page 8: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/8.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
![Page 9: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/9.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
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![Page 10: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/10.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
![Page 11: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/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: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/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
![Page 13: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/13.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 AreaSides
![Page 14: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/14.jpg)
Parts of a polygonIn more complex polygons there are more parts.
Learn these new terms:
Diagonal RegularConsecutive
![Page 15: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/15.jpg)
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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![Page 16: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/16.jpg)
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.)
![Page 17: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/17.jpg)
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
![Page 18: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/18.jpg)
Example 3: Identifying and Classifying Regular Polygons
Name each polygon and tell whether it is aregular polygon. If it is not, explain why not.
The figure is a regularquadrilateral. A regular quadrilateral is also called a square.
The figure is aquadrilateral. It is not a regular polygon becauseall of the sides are not congruent.
A. B.
Course 2
![Page 19: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/19.jpg)
Now You Try…
Insert Lesson Title Here
The figure is a triangle. It is not a regular polygon because all sides and angles are not congruent.
The figure is a regular triangle.
Name each polygon and tell whether it is aregular polygon. If it is not, explain why not.
A. B.
Course 2
![Page 20: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/20.jpg)
Is the figure convex or concave?
A.ConvexB.Concave
![Page 21: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/21.jpg)
Is the figure convex or concave?
A.ConvexB.Concave
![Page 22: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/22.jpg)
Is the figure convex or concave?
A.ConvexB.Concave
![Page 23: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/23.jpg)
Decide whether the figure is equilateral, equiangular, or neither.
A. Equilateral B. Equiangular C. Neither
![Page 24: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/24.jpg)
Decide whether the figure is equilateral, equiangular, or neither.
A. Equilateral B. Equiangular C. Neither
![Page 25: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/25.jpg)
Decide whether the figure is equilateral, equiangular, or neither.
A. Equilateral B. Equiangular C. Neither
![Page 26: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/26.jpg)
True or FalseThe figure is regular.
TRUE
![Page 27: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/27.jpg)
True or FalseThe figure is regular.
FALSE
![Page 28: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/28.jpg)
True or FalseThe figure is regular.
TRUE
![Page 29: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/29.jpg)
The below figure is regular.Find the value of x.
x = 5
![Page 30: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/30.jpg)
The below figure is regular.Find the value of x.
x = 36
![Page 31: Created by: Cathy and Jim Carroll. Convex or Concave? A Polygon is a plane figure formed by three or more segments. A Polygon can either be convex or](https://reader036.vdocument.in/reader036/viewer/2022062721/56649f225503460f94c3a813/html5/thumbnails/31.jpg)
The below figure is regular.Find the value of x.
x = 7