chapter4 quadrilaterals

7/31/2019 Chapter4 Quadrilaterals

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What is a quadrilateral?

A quadrilateral is a closed 2 dimensionalfigure with that are line segments.4 sides


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What is a parallelogram?

Quadrilateral 4 sides

Opposite sides congruent

Opposite sides parallel

d2=a2+b2-2abcos

b

a dPerimeter & Area

P=2a+2bA=bh=absin

h


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What is a rectangle?

Quadrilateral- 4 sides

Parallelogram- opposite sides parallel

Four right angles.

d

b

h Perimeter & Area

P=2b+2hA=bh


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What is a rhombus?

Quadrilateral- 4 sides


Four congruent sides.

b

Perimeter & Area

P=4bA=(1/2)d1d2=bh

h

Diagonal

d1

d2)(tan2

)2

2()

2

1(

2

11

22

d

d

dd


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What is a square?



Rectangle- 4 right angles

Rhombus- 4 sides congruent

Perimeter & Area

P=4aA=a2

Diagonal

2ad a

a

d


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What is a trapezoid?


Exactly one pair of parallel sides

hbaA )(2

1

a

b

h


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What are all of the names for this polygon?

Quadrilateral Parallelogram

Rectangle

Which name best describes the shape?


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Rhombus



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Quadrilateral Trapezoid



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Quadrilateral

Parallelogram Square

Rhombus

Rectangle



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Exercises:

1. The diagonal of a rectangle is 25 meters long andmakes an angle of 36 with one side of the rectangle.

Find the area and the perimeter of the rectangle.

2. A piece of wire of length 52 cm is cut into two parts.Each part is then bent to form a square. It is found that

the combined area of the two squares is109 cm2. Find the sides of the two squares.

chapter4 quadrilaterals

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