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

QuickTime™ and a decompressor

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

QuickTime™ and a decompressor

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

QuickTime™ and a decompressor

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

QuickTime™ and a decompressor

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

QuickTime™ and a decompressor

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!!!