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Parallelograms 1. Quadrilateral with 2 pairs of parallel sides 2. 2 pairs of opposite sides congruent 3. 2 pairs of opposite angles congruent 4. Diagonals bisect each other 5. Same side supplementary angles 6. *1 pair of opposite sides BOTH parallel and congruent.

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3 types of Parallelograms 1. Rectangle 2. Rhombus 3. Square

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Rectangle Definition: a parallelogram with 4 right angles and congruent diagonals. Has all the characteristics of a parallelogram PLUS 2 extras.

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Rhombus Definition: a parallelogram with all sides congruent, perpendicular angle- bisecting diagonals. Has all the characteristics of a parallelogram PLUS 3 extras.

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Square Definition: a parallelogram with all the characteristics of rectangles and rhombuses. Has all the characteristics of a parallelogram PLUS 5 extras.

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TIME FOR SOME….. Confusion!!!!

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Every rectangle is a… parallelogram

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Every rhombus is a… parallelogram

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Every square is a… parallelogram, rhombus, rectangle This guy ’ s the “ head honcho ” ! He ’ s kind of like you are … involved in everything

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Time to… Take a minute to look over your characteristics and your foldable. Close your notebook and hide your foldable. Eyes on me!

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True/False 1. Every rectangle is a parallelogram. FALSE! 2. Every square is a rectangle. TRUE! 3. Every rhombus is a square. FALSE! 4. Every square is a rhombus. TRUE!

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True/False continued… 5. Every rhombus is a parallelogram. TRUE! 6. Every rectangle is a rhombus. FALSE! 7. Every square is a parallelogram. TRUE! 8. Every parallelogram is a rectangle. FALSE!

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: ) Having Fun Yet? Here ’ s some more challenging brain teasers …

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Which parallelograms have… 1. Diagonals congruent? Rectangle (it ’ s under the tab) and square (it has rectangle ’ s properties) 2. Diagonals perpendicular? Rhombus (it ’ s under the tab) and square (it has rhombus ’ s properties) 3. Diagonals that bisect each other? Rectangle, rhombus, and square (it ’ s under the parallelogram tab, so they all have it!)

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Which parallelograms have… 4. All right angles? Rectangle (it ’ s under the tab) and square (it has rectangle ’ s properties) 5. All sides congruent? Rhombus (it ’ s under the tab) and square (it has rectangle ’ s properties) 6. Same side supplements? Rectangle, rhombus, and square (it ’ s under the parallelogram tab, so they all have it!)

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Let’s talk diagonals! RhombusRectangleSquare Bisect each other (pgram) Perpendicular (flap) Congruent (flap)Perpendicular (rhombus flap) Angle bisectors (flap) Angle bisectors (rhombus flap) Congruent (rectangle flap)

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Joke time! What do you call / ABC after a car accident? Drum roll please …. … … … A RECTANGLE!

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EXAMPLE 3 List properties of special parallelograms

EXAMPLE 3 List properties of special parallelograms

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