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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. QuadrilateralsNot Quadrilaterals 3 sides More than 4 sides Must only contain Segments Non consecutive sides should not intersect

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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. 90º 360º 90º 360º 65º115º 65º115º 360º 90º 360º 110º 70º 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 RhombusSquare Isosceles Trapezoid 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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