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**Polygons and Quadrilaterals**

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Polygons The word polygon means “many angles”

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**What is a Polygon? A closed figure**

Made up of three or more straight lines The sides do not cross each other

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These are polygons

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**These are Not Polygons because. . .**

Lines are not straight Only two lines Lines Cross Not Closed

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**A pentagon has five sides.**

1 5 2 4 3

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Hexagon and Heptagon A hexagon has six sides. (Hexagon and six both have an “x”.) A heptagon has seven sides. heptagon hexagon

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Octagon An octagon has eight sides. Count the sides.

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Nonagon 9 sides

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Decagon Ten Sides

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**Let’s Review: A pentagon has five sides. A hexagon has six sides.**

A heptagon has seven sides. An octagon has eight sides. A nonagon has nine sides A decagon has ten sides

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Quadrilaterals parallelogram rectangle trapezoid square rhombus

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Definition Quadrilateral – a polygon with 4 angles and 4 straight sides.

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**Each shape has four sides.**

Quadrilaterals “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides. trapezoid square rhombus parallelogram rectangle

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The angles add up to 360º 65º 65º 115º 65º 115º 115º + 65º 115º 360º

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**Square A square has four sides that are each the same length.**

It also has four right angles (perfect corners). 1 4 3 2

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**Rhombus A rhombus has four sides that are each the same length.**

But it has two acute and two obtuse angles. obtuse acute acute obtuse

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Square and Rhombus A square and a rhombus both have four sides that are the same length. So, how are they different?

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**Square and Rhombus A rhombus can be thought of as a slanted square.**

If we push on the left-hand side of this square, it might end up looking like… a rhombus.

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**The only difference between a square and a rhombus is their angles.**

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**Trapezoid A trapezoid has four sides. Two sides are parallel.**

The opposing two sides are not parallel. Those are not parallel. Those are parallel.

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Rectangle A rectangle has four sides – two long sides and two short sides. Two sides are parallel. The opposing two sides are also parallel. It also has four right angles.

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Parallelogram A parallelogram has four sides – two long sides and two short sides. Two sides are parallel. The opposing two sides are also parallel. But, it has two acute and two obtuse angles.

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**Rectangle and Parallelogram**

A parallelogram can be thought of as a slanted rectangle. If we push on the left-hand side of this rectangle, it might end up looking like… a parallelogram.

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**The only difference between a rectangle and a parallelogram is their angles.**

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**Quadrilaterals SHAPE SIDES ANGLES PARALLEL LINES Square 4 same length**

4 right angles 2 sets Rhombus 2 acute 2 obtuse Trapezoid different lengths different angles 1 set Rectangle 2 long, 2 short Parallelogram

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**Now that you are done, go to the websites to play the games**

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