A quadrilateral is a four-sided plane. A parallelogram is a four-sided plane that meets the following criteria:  Opposite sides are parallel  Opposite.

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Presentation transcript:

A quadrilateral is a four-sided plane.

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

 Squares  Rectangles  Rhombuses

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

 Kites  Trapezoids

 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= A=(4)(8)

 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) A=(1/2)(2x4)

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

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

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

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

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

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

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

 We hope you enjoyed our project… …and learned from it!!!