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=42 4
8
A=(4)(8)
Trapezoid:
Area=1/2(Height)(Base1+Base2)
Rhombus and Kite:
1/2(Diagonal1xDiagonal2)
4
2
A=(1/2)(3)(2+4)
32
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
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are needed to see this picture.
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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are needed to see this picture.
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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are needed to see this picture.
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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are needed to see this picture.
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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are needed to see this picture.
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!!!