quadrilaterals i by monica yuskaitis. copyright © 2000 by monica yuskaitis definition polygon – a...
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Quadrilaterals I
by Monica Yuskaitis
Copyright © 2000 by Monica Yuskaitis
Definition• Polygon – a closed many straight-
sided figure.
Copyright © 2000 by Monica Yuskaitis
Definition• Angle – two rays that meet at a
common end point.
Copyright © 2000 by Monica Yuskaitis
Definition• Degree – a unit of measurement of
an angle or arc, represented by the symbol º.
90º
Copyright © 2000 by Monica Yuskaitis
Definition• Quadrilateral – a polygon with 4
angles and 4 straight sides.
Copyright © 2000 by Monica Yuskaitis
Quadrilateral Family
parallelogramrectangle
rhombus square
trapezoid
Copyright © 2000 by Monica Yuskaitis
PARALLELOGRAM
• Two pairs of parallel sides
Copyright © 2000 by Monica Yuskaitis
RHOMBUS
• Parallelogram• 4 sides the same length
Copyright © 2000 by Monica Yuskaitis
RECTANGLE
• Parallelogram• 4 right angles
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SQUARE
• Parallelogram• 4 right angles• 4 sides the same length
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TRAPEZOID
• One pair of parallel sides• 4 sides can all be
different lengths
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KITE
• 2 pairs of equal sides• The equal sides are next to each other.• The 4 sides cannot all be the same length.
Copyright © 2000 by Monica Yuskaitis
OTHER - QUADRILATERAL
• Any polygon with 4 sides that is NOT a:• Parallelogram• Trapezoid• Kite
Copyright © 2000 by Monica Yuskaitis
Property of quadrilaterals• The sum of all the angles equals
360º degrees.
90º
90º
90º
90º
Copyright © 2000 by Monica Yuskaitis
Property of Quadrilaterals• The sum of all the angles equals
360º degrees.
90º
90º
90º
90º
90º90º90º90º+
360º
Copyright © 2000 by Monica Yuskaitis
Property of Quadrilaterals• The sum of all the angles equals
360º degrees.
90º
90º
90º
90º
90º90º90º90º+
360º
Copyright © 2000 by Monica Yuskaitis
Property of Quadrilaterals• The sum of all the angles equals
360º degrees.
70º
110º
70º
110º
70º70º
110º110º+360º
Copyright © 2000 by Monica Yuskaitis
Property of Quadrilaterals• The sum of all the angles equals
360º degrees.
65º
115º65º
115º
65º65º
115º115º+360º
Copyright © 2000 by Monica Yuskaitis
What is the missing angle?
90º
90º
90º
?
90º90º90º
?360º
+
Copyright © 2000 by Monica Yuskaitis
What is the missing angle?
70º
?
70º
110º
70º70º
110º?+
360º
Copyright © 2000 by Monica Yuskaitis
What is the missing angle?
65º
115º65º
?65º65º
115º?+
360º
Copyright © 2000 by Monica Yuskaitis
What is the missing angle?
90º
90º
?
90º
90º90º90º
?+360º
Copyright © 2000 by Monica Yuskaitis
What is the missing angle?
58º81º
109º?+
360º81º58º
109º?