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Quadrilaterals

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Definition A quadrilateral is a closed geometric figure with four sides, four vertices, and four angles. The segments of a quadrilateral intersect only at their endpoints. Quadrilaterals Not Quadrilaterals Non consecutive sides should not intersect More than 4 sides Must only contain Segments 3 sides

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**Naming Quadrilaterals**

Quadrilaterals are named by listing their vertices in order. There are many names for the quadrilateral below. Some examples are quadrilateral ABCD, quadrilateral BCDA, or quadrilateral DCBA.

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Sides Any two sides, vertices, or angles of a quadrilateral are either consecutive or nonconsecutive. In a quadrilateral, nonconsecutive sides, vertices, or angles are also called opposite sides, vertices, or angles.

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Diagonals Segments that join nonconsecutive vertices of a quadrilateral are called diagonals.

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Properties The sum of all the angles equals 360º degrees. 110º 70º 360º 90º 360º 90º 360º 90º 360º 65º 115º 360º

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**Special Quadrilaterals**

A quadrilateral is a four-sided polygon, but some of them have characteristics that make them special. We will be covering 6 special quadrilaterals: Parallelogram Rectangle Square Rhombus Kite Isosceles Trapezoid

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**Six Special Quadrilaterals**

Parallelogram Rectangle Isosceles Trapezoid Rhombus Square Kite

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**Special Quadrilateral Properties**

Each special quadrilateral has its on properties. However there are similarities between them. Your task is going to be to discover their properties by constructing and exploring each one.

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**Examples of Quadrilaterals in Everyday Life**

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Parallelograms

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Rectangles

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Squares

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Rhombi

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Kites

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Isosceles Trapezoids

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**Conclusion We will be covering 6 types of quadrilaterals**

Parallelograms Rectangles Squares Rhombi Kites Isosceles Trapezoids

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As we explore the various quadrilaterals, begin thinking about all the places that you can find them, i.e. school, car, work, home, etc.

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Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is…....360 degrees. C-30 p. 256.

Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is…....360 degrees. C-30 p. 256.

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