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A quadrilateral is a four-sided plane.

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A parallelogram is a four-sided plane that meets the following criteria: Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary Diagonals bisect each other

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Squares Rectangles Rhombuses

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Theorem 6.21: The area of a parallelogram is the product of base and its corresponding height. 4 8 A=(8)(4) > > >>

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Kites Trapezoids

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Postulate 22: The area of a square is the square of the length of one of its sides. Theorem 6.20: The area of a rectangle is the product of its base and height. 4 4 A=4 2 4 8 A=(4)(8)

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Trapezoid: Area=1/2(Height)(Base 1 +Base 2 ) Rhombus and Kite: 1/2(Diagonal 1 xDiagonal 2 ) 4 2 A=(1/2)(3)(2+4) 3 2 4 A=(1/2)(2x4)

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Area of a Square… Area of a SQUARE=SideSQUARED Area of a Kite… Please DaD: (1/2)Product of DandD--(1/2)DaD

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Examples-Square The length of one of the sides is 3. What is the area of the square? 9 units 2

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Examples-Rectangle The length of one of the sides is 4, and the other is 6. What is the area of the rectangle? 24 units 2

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Examples-Kite The length of one of the diagonals is 5, and the other is 8. What is the area of the kite? 20 units 2

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Examples-Rectangle The height of the building is 350 feet and the width is 20 feet. What is the area of the building? 7,000 feet 2

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Examples-Rhombus The length of one of the diagonals is 16, and the other is 8. What is the area of the rhombus? 64 units 2

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Examples-Trapezoid The length of one of the bases is 2, and the other is 4. The height is 8. What is the area of the trapezoid? 24 units 2

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Advanced Geometry 5.7 Proving Special Quadrilaterals.

Advanced Geometry 5.7 Proving Special Quadrilaterals.

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