Parallelograms

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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.

4
Rhombus

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

5
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 guys the head honcho! Hes kind of like
  you areinvolved 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? Heres some more challenging
  brain teasers

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Which parallelograms have

• 1. Diagonals congruent?
• Rectangle (its under the tab) and square (it has
  rectangles properties)
• 2. Diagonals perpendicular?
• Rhombus (its under the tab) and square (it has
  rhombuss properties)
• 3. Diagonals that bisect each other?
• Rectangle, rhombus, and square (its under the
  parallelogram tab, so they all have it!)

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Which parallelograms have

• 4. All right angles?
• Rectangle (its under the tab) and square (it has
  rectangles properties)
• 5. All sides congruent?
• Rhombus (its under the tab) and square (it has
  rectangles properties)
• 6. Same side supplements?
• Rectangle, rhombus, and square (its under the
  parallelogram tab, so they all have it!)

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Lets talk diagonals!
Rhombus Rectangle Square
Bisect each other (pgram) Bisect each other (pgram) 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!