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6.2-6.3: Parallelograms

6.2-6.3: Parallelograms. Objectives: Be able to use some properties of parallelograms. Be able to prove that a quadrilateral is a parallelogram. Parallelograms. A parallelogram is a quadrilateral with both pairs of opposite sides parallel . REMEMBER , I f two lines are parallel, then:.

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6.2-6.3: Parallelograms

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  1. 6.2-6.3: Parallelograms • Objectives: • Be able to use some properties of parallelograms. • Be able to prove that a quadrilateral is a parallelogram.

  2. Parallelograms A parallelogram is a quadrilateral with both pairs of opposite sides parallel. REMEMBER, If two lines are parallel, then: P S 1) Alternate interior angles are congruent 2) Alternate exterior angles are congruent 3) Corresponding angles are congruent 4) Same-side interior angles are supplementary. Q R When you mark diagrams of quadrilaterals, use matching arrowheads to indicate which sides are parallel. For example, in the diagram above, PQ║RS and QR║SP. The symbol PQRS is read “parallelogram PQRS.”

  3. Theorems about Parallelograms S P Q R S P R Q P S R Q S P M R Q

  4. Example 1) Find the value of each variable in the parallelogram below.

  5. Example: W Z Y X

  6. Example: S P P Q Q R

  7. Example:

  8. Theorems about Parallelograms S P Q R S P R Q P S R Q S P R Q

  9. Theorems about Parallelograms S P Q R Summary

  10. Assignment: • Read pages 330-333 and 338-341 • Pages 333-334 #4-36 EVENS • Pages 342-343 #9-19 ALL

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