6 2 properties of parallelograms
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6.2 Properties of Parallelograms PowerPoint PPT Presentation


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6.2 Properties of Parallelograms. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. In a quadrilateral, opposite sides do not share a vertex and opposite angles do not share a side. Theorem 6.3.

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6.2 Properties of Parallelograms

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6.2 Properties of Parallelograms

  • A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

  • In a quadrilateral, opposite sides do not share a vertex and opposite angles do not share a side.


Theorem 6.3

  • If a quadrilateral is a parallelogram, then its opposite sides are congruent.


Consecutive Angles

  • Angles of a polygon that share a side are consecutive angles.


Theorem 6.4

  • If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.


Using Consecutive Angles

  • What is the measure of angle P in parallelogram PQRS?

  • 26°

  • 64°

  • 116°

  • 126°


Theorem 6.5

  • If a quadrilateral is a parallelogram, then its opposite angles are congruent.


Theorem 6.6

  • If a quadrilateral is a parallelogram, then its diagonals bisect each other.


Using Algebra to Find Lengths

  • Solve a system of linear equations to find the values of x and y in parallelogram KLMN. What are KM and LN?


Using Algebra to Find Lengths


Theorem 6.7

  • If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.


Using Parallel Lines and Transversals

  • In the figure, AE || BF || CG || DH, AB = BC = CD = 2, and EF = 2.25. What is EH?

    EF = FG = GH

    EH = EF + FG + GH

    EH = 2.25 + 2.25 + 2.25

    EH = 6.75


More Practice!!!!!

  • Homework – p. 364 - 365 #9 – 12, 14 – 27, 29 – 30 ALL.


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