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THE WORLD OF POLYGONS LESSON 4

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**ACTIVITY:BIRDSEYE VIEW**

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**ACTIVITY:BIRDSEYE VIEW**

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**ACTIVITY:BIRDSEYE VIEW**

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**ACTIVITY:BIRDSEYE VIEW**

IS SHAPE 1 A POLYGON?

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**ACTIVITY:BIRDSEYE VIEW**

IS SHAPE 2 A POLYGON?

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**ACTIVITY:BIRDSEYE VIEW**

IS SHAPE 3 A POLYGON?

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DEFINITION Polygon, in geometry, a simple closed two-dimensional figure formed by the joining of three or more straight line segments, called SIDES.

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DEFINITION A figure is simple if it extends in no more than two directions from any point and closed if its starting point is the same as its endpoint.

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DEFINITION These restrictions require that the sides of a polygon not cross each other and that pairs of sides intersect at their ENDPOINTS, which are called VERTICES.

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**POLYGONS ARE NAMED AND CLASSIFIED ACCORDING TO THEIR NUMBER OF SIDES.**

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EXAMPLES TRIANGLE RECTANGLE PENTAGON

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EXAMPLES HEXAGON

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**REGULAR POLYGONS 6 SIDES 3 SIDES 4 SIDES 5 SIDES 7 SIDES 8 SIDES**

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REGULAR POLYGONS ALL ANGLES ARE EQUAL and ALL SIDES ARE EQUAL.

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**All polygons have an equal number of sides and vertices.**

REMEMBER All polygons have an equal number of sides and vertices.

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EXAMPLE TRIANGLE 3 SIDES. 3 VERTICES 3 ANGLES

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**Polygons are also classified as CONVEX and NONCONVEX.**

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**Polygons are also classified as CONVEX and NONCONVEX.**

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**What is the difference between CONVEX and NONCONVEX POLYGONS?**

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A POLYGON IS CONVEX IF A SEGMENT JOINING ANY 2 POINTS OF THE POLYGON LIES COMPLETELY INSIDE THE POLYGON. CONVEX

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**OTHERWISE THE POLYGON IS NONCONVEX .**

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EXERCISES TELL WHETHER OR NOT EACH OF THE FOLLOWING IS A POLYGON.

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QUIZ TELL WHETHER A POLYGON IS CONVEX OR NOT.

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POLYGONS LESSON 5

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**All polygons have an equal number of sides and vertices.**

RECALL All polygons have an equal number of sides and vertices.

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TRIANGLE QUADRILATERAL PENTAGON HEXAGON HEPTAGON OCTAGON NONAGON DECAGON

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POLYGON PARTS

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**Side - one of the line segments that make up the polygon.**

POLYGON PARTS Vertex - point where two sides meet. Two or more of these points are called vertices. Side - one of the line segments that make up the polygon.

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**Diagonal - a line connecting two vertices that isn't a side.**

POLYGON PARTS Diagonal - a line connecting two vertices that isn't a side.

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POLYGON PARTS Exterior Angle - Angle formed by two adjacent sides outside the polygon. Interior Angle - Angle formed by two adjacent sides inside the polygon.

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TRIANGLE

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