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Published byStephen Copeland Modified over 9 years ago
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By: Sachita Ganesa, Brittany Laramee, Connor Shea and Sean Teebagy
Quadrilaterals By: Sachita Ganesa, Brittany Laramee, Connor Shea and Sean Teebagy
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Parallelograms Definition: Quadrilateral with two pairs of opposite parallel sides. Properties: Opposite angles are congruent Both pairs of opposite sides are congruent Diagonals bisect Sum of interior angles is 360 degrees Consecutive angles are supplementary One pair of opposite sides are parallel and congruent
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Parallelograms (continued)
Examples of Properties Opposite angles are congruent Diagonals bisect Opposite sides congruent and parallel
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Rectangles Definition: A parallelogram with 4 right angles Properties:
All properties that a parallelogram has All four angles are 90 degrees All diagonals are congruent
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Rectangles (continued)
Examples of Properties Opposite angles are congruent and 90 degrees Diagonals bisect & congruent Opposite sides congruent and parallel
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Rhombus Definition: A parallelogram with 4 congruent sides Properties:
All properties that a parallelogram has All sides are congruent Diagonals are perpendicular Diagonals bisect the angles
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Diagonals congruent & perpendicular bisector of each other
Rhombus (continued) Examples of properties Angles are bisected by the diagonals Diagonals congruent & perpendicular bisector of each other All sides congruent and opposite sides parallel
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Squares Definition: Parallelogram with 4 right angles and 4 congruent sides Properties: All properties that a parallelogram has 4 right angles 4 congruent sides Diagonals are congruent Diagonals are perpendicular Diagonals bisect the angles
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Diagonals congruent & perpendicular bisector of each other
Squares (continued) Examples of properties Angles are bisected by the diagonals Diagonals congruent & perpendicular bisector of each other All sides congruent and opposite sides parallel
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Trapezoids Definition: A quadrilateral with exactly one pair of opposite, parallel sides. Properties: Sum of all interior angles are 360 degrees Exactly one pair of opposite, parallel sides
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Trapezoids (continued)
Examples of properties Exactly one pair of opposite, parallel sides
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Kites Definition: A quadrilateral with exactly 2 pairs of adjacent and congruent sides Properties: 2 pairs of congruent and adjacent sides Diagonals are perpendicular Sum of interior angles is 360 degrees
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Diagonals are perpendicular
Kites (continued) Examples of properties Diagonals are perpendicular Two pairs of adjacent, congruent sides
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