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Quadrilaterals

Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

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Page 1: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Quadrilaterals

Page 2: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Definition• Polygon – a closed many straight-

sided figure.

Page 3: Quadrilaterals. 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.

Page 4: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Definition• Degree – a unit of measurement of

an angle or arc, represented by the symbol º.

90º

Page 5: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Definition• Quadrilateral – a polygon with 4

angles and 4 straight sides.

Page 6: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Quadrilateral Family

parallelogramrectangle

rhombus square

trapezoid

Page 7: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Property of quadrilaterals• The sum of all the angles equals

360º degrees.

90º

90º

90º

90º

Page 8: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Property of Quadrilaterals• The sum of all the angles equals

360º degrees.

90º

90º

90º

90º

90º90º90º90º+

360º

Page 9: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Property of Quadrilaterals• The sum of all the angles equals

360º degrees.

90º

90º

90º

90º

90º90º90º90º+

360º

Page 10: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Property of Quadrilaterals• The sum of all the angles equals

360º degrees.

70º

110º

70º

110º

70º70º

110º110º+360º

Page 11: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

Property of Quadrilaterals• The sum of all the angles equals

360º degrees.

65º

115º65º

115º

65º65º

115º115º+360º

Page 12: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

What is the missing angle?

90º

90º

90º

?

90º90º90º

?360º

+

Page 13: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

What is the missing angle?

70º

?

70º

110º

70º70º

110º?+

360º

Page 14: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

What is the missing angle?

65º

115º65º

?65º65º

115º?+

360º

Page 15: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

What is the missing angle?

90º

90º

?

90º

90º90º90º

?+360º

Page 16: Quadrilaterals. Copyright © 2000 by Monica Yuskaitis Definition Polygon – a closed many straight- sided figure

Copyright © 2000 by Monica Yuskaitis

What is the missing angle?

58º81º

109º?+

360º81º58º

109º?