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POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments.

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Presentation on theme: "POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments."— Presentation transcript:

1 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. STOP

2 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. All segments of the polygon must intersect with two other segments at their endpoints. These are all polygons

3 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. All segments of the polygon must intersect with two other segments at their endpoints. Lastly, they enclose space in a plane. These are all polygons

4 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. All segments of the polygon must intersect with two other segments at their endpoints. Lastly, they enclose space in a plane. There are points on, inside, and outside each polygon.

5 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. All segments of the polygon must intersect with two other segments at their endpoints. Lastly, they enclose space in a plane. These figures ARE NOT polygons. Does not close space and does not have segments joined with the endpoints of two other segments.

6 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. All segments of the polygon must intersect with two other segments at their endpoints. Lastly, they enclose space in a plane. These figures ARE NOT polygons. Does not close space and does not have segments joined with the endpoints of two other segments. No sides or vertices

7 POLYGONS – Introduction A polygon is closed plane figure with three or more sides. A stop sign is an example of a polygon. It has vertices and no segments intersect. All segments of the polygon must intersect with two other segments at their endpoints. Lastly, they enclose space in a plane. These figures ARE NOT polygons. Does not close space and does not have segments joined with the endpoints of two other segments. No sides or vertices Sides intersect.

8 POLYGONS – Introduction Polygons are named by their number of sides. The more familiar ones have 3, 4, 5, and 8 sides. The word polygon comes from the Greek language meaning “many angles”. Hence a triangle, “tri” means three, has three angles. STOP

9 POLYGONS – Introduction Polygons are named by their number of sides. The more familiar ones have 3, 4, 5, and 8 sides. The word polygon comes from the Greek language meaning “many angles”. Hence a triangle, “tri” means three, has three angles. Let’s name all the polygons from 3 – 10 sides. Number of Sides Polygon Name 3Triangle 4Tetragon 5Pentagon 6Hexagon 7Heptagon

10 POLYGONS – Introduction Polygons are named by their number of sides. The more familiar ones have 3, 4, 5, and 8 sides. The word polygon comes from the Greek language meaning “many angles”. Hence a triangle, “tri” means three, has three sides. Let’s name all the polygons from 3 – 10 sides. Number of Sides Polygon Name 8Octagon 9Nonagon 10Decagon

11 POLYGONS – Introduction Polygons are named by their number of sides. The more familiar ones have 3, 4, 5, and 8 sides. The word polygon comes from the Greek language meaning “many angles”. Hence a triangle, “tri” means three, has three sides. AFTER 10, just throw the number on front of the word “gon” An “n – gon”… Number of Sides Polygon Name 8Octagon 9Nonagon 10Decagon gon gon

12 POLYGONS – Introduction Polygons are classified as convex or concave. Convex - the easiest way to describe a convex polygon is it doesn’t collapse on itself. If I would extend the sides of the polygon, none of them would cut through the interior of the polygon.

13 POLYGONS – Introduction Concave - these polygons collapse on themselves. They look like they have a “notch” in them. When I extend the sides, the line cuts through the polygon.

14 POLYGONS – Introduction Concave - these polygons collapse on themselves. They look like they have a “notch” in them. When I extend the sides, the line cuts through the polygon. Also, two vertices of the polygon can be connected “outside” of the polygon.

15 POLYGONS – Introduction Regular Polygons - convex - all sides are equal length ( equilateral ) - all angle measures are equal ( equiangular )

16 POLYGONS – Introduction Regular Polygons - convex - all sides are equal length ( equilateral ) - all angle measures are equal ( equiangular ) EXAMPLES :

17 POLYGONS – Introduction Irregular Polygons - convex OR concave - sides are not equal in length - all angle measures are NOT equal

18 POLYGONS – Introduction Irregular Polygons - convex OR concave - sides are not equal in length - all angle measures are NOT equal EXAMPLES :

19 POLYGONS – Introduction To work with polygons we need to label them. When labeling their vertices, start at one vertice and then move clockwise in consecutive order. Don’t skip letters. AB C D

20 POLYGONS – Introduction To work with polygons we need to label them. When labeling their vertices, start at one vertice and then move clockwise in consecutive order. Don’t skip letters. AB C D To name polygons, state their vertices in order. - polygon ABCD

21 POLYGONS – Introduction To work with polygons we need to label them. When labeling their vertices, start at one vertice and then move clockwise in consecutive order. Don’t skip letters. AB C D To name polygons, state their vertices in order. - polygon ABCD - polygon MNO O N M

22 POLYGONS – Introduction Once the polygons are labeled, you can reference the polygons sides and angles. AB C D O N M

23 POLYGONS – Introduction Once the polygons are labeled, you can reference the polygons sides and angles. AB C D O N M Side AB Angle M


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