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Properties of Quadrilaterals

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- 1. Properties OfQuadrilaterals Created by Michelle Barnhill 7/11/12
- 2. Perimeter: Add all sides The RectangleArea: A = (length)( width )Sides: Opposite Sides are Parallel Opposite Sides are CongruentAngles: All Angles are 90o All Angles are Congruent Adjacent Angles are SupplementaryDiagonals: Diagonals Bisect each other Diagonals are NOT Perpendicular To find the Length of the Diagonals: d = L2 + W 2
- 3. Perimeter: Add all sides The ParallelogramArea: A = (base)(height )Sides: Opposite Sides are Parallel Opposite Sides are CongruentAngles: Opposite Angles are Congruent Adjacent Angles are SupplementaryDiagonals: Diagonals Bisect each other Diagonals are NOT Perpendicular
- 4. Perimeter: Add all sides The Trapezoid Area: 1 A= ( height )( length of longer base + length of shorter base ) 2 Sides: Bases are Parallel Sides:There is a special Bases are Paralleltrapezoid, called the Opposite Sides are CongruentIsosceles trapezoid. Angles: Big Bases Angles are CongruentThe properties above Little Bases Angles are Congruentstill apply, but we can A Pair of Angles, one form each Base,also add these are Supplementaryproperties: Diagonals: Diagonals are Congruent
- 5. Perimeter: Add all sidesArea: The Rhombus 1 A= (first diagonal)(second diagonal) 2Sides: Opposite Sides are Parallel All Sides are CongruentAngles: Opposite Angles are Congruent Adjacent Angles are SupplementaryDiagonals: Diagonals Bisect each other Diagonals are Perpendicular
- 6. Perimeter: Add all sides Area: The Square A = (length)( width) = s 2 Sides: Opposite Sides are Parallel All Sides are Congruent Angles: All Angles are 90o All Angles are Congruent Adjacent Angles are Supplementary Diagonals: Diagonals Bisect each other Diagonals are Perpendicular To find the Length of the Diagonals: d =s 2The Square is a busy shape! It’s not only a square, it’s a rectangle, a parallelogram, a trapezoid, and a rhombus!
- 7. Perimeter: Add all sidesArea: The Kite 1 A= (first diagonal)(second diagonal) 2Sides: Two Shorter Sides are Congruent Two Longer Sides are CongruentAngles: Opposite Angles, only the angles that Join the Shorter and Longer Sides, are CongruentDiagonals: The Longer Diagonal Bisects the Shorter Diagonal Diagonals are Perpendicular

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