Quadrilaterals I by Monica Yuskaitis. Student Expectation: 6 th Grade: 6.3.6B Identify relationships involving angles in triangles and quadrilaterals.

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Quadrilaterals I

by Monica Yuskaitis

Student Expectation:

6th Grade:

6.3.6B Identify relationships involving angles in triangles and quadrilaterals.

7th Grade:• 7.3.6B Use properties to classify triangles and

quadrilaterals.

Copyright © 2000 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

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?

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