chapter4 quadrilaterals
TRANSCRIPT
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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
Parallelogram- opposite sides parallel
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?
Quadrilateral 4 sides
Parallelogram- opposite sides parallel
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?
Quadrilateral 4 sides
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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What are all of the names for this polygon?
Quadrilateral Parallelogram
Which name best describes the shape?
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What are all of the names for this polygon?
Quadrilateral Parallelogram
Rhombus
Which name best describes the shape?
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What are all of the names for this polygon?
Quadrilateral Trapezoid
Which name best describes the shape?
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What are all of the names for this polygon?
Quadrilateral
Parallelogram Square
Rhombus
Rectangle
Which name best describes the shape?
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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.