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Lesson 2 Properties of Parallelograms

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Lesson 2 Properties of Parallelograms

On the next slide, manipulate (change its sides/angles) the given parallelogram. While you change the size of its sides/angles/diagonals look for what remains constant to determine the SIX PROPERTIES OF A PARALLELOGRAM

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Using the applet on the previous slide, determine the SIX properties of parallelograms

  • Both pairs of opposite sides are parallel

  • Equiangular quadrilateral

  • Diagonals are congruent.

  • Only one pair of opposite sides parallel

  • Equilateral quadrialteral

  • Both pairs of opposite sides are congruent

  • Diagonals bisect its angles

  • Only one pair of opposite sides congruent

  • Consecutive angles are supplementary

  • Both pairs of opposite angles are congruent

  • Diagonals bisect each other

  • A diagonal divides the parallelogram into two congruent triangles

  • Diagonals are perpendicular.

  • Properties of Parallelograms

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