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Exploring Polygons

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What is a polygon? Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. Can be “regular” – all sides and all angles are equal to each other

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**Isosceles Triangles Two sides of equal length Three acute angles**

Sum of angles = 180°

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**Equilateral Triangles**

All sides equal length Three acute angles Sum of angles = 180° Is a regular polygon

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**Scalene Triangles No sides are equal No angles are equal**

May have obtuse angle Sum of angles = 180 °

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**Rectangles Opposite sides are parallel**

Opposite side are equal in length Each angle equals 90° Sum of angles = 360°

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**Squares All sides equal All angles equal and are 90 ° each**

Sum of angles = 360 ° Is a regular polygon

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**Trapezoids Two sides are parallel Has obtuse and acute angles**

Sometimes has a right angle Sum of angles = 360 °

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**Rhombuses (rhombi) All four sides of equal length**

Opposite angles are equal – 2 acute angles, 2 obtuse angles Sum of angles = 360 ° Regular polygon

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**Parallelograms Opposite sides parallel Opposite sides equal in length**

Opposite angles equal Sum of angles = 360 °

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Pentagons 5 sides Sum of angles = 540 ° Regular polygon

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Hexagons 6 sides Sum of angles = 720 ° Can be regular polygon

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Octagons 8 sides Sum of angles = 1080 ° Can be regular polygon

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Decagons 10 sides Sum of angles = 1440° Can be regular polygon

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