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Section 6 – 3 Proving That a Quadrilateral Is a Parallelogram

Section 6 – 3 Proving That a Quadrilateral Is a Parallelogram. Objective: To determine whether a quadrilateral is a parallelogram . Theorem 6 – 5. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram . Theorem 6 – 6.

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Section 6 – 3 Proving That a Quadrilateral Is a Parallelogram

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  1. Section 6 – 3Proving That a Quadrilateral Is a Parallelogram Objective: To determine whether a quadrilateral is a parallelogram.

  2. Theorem 6 – 5 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

  3. Theorem 6 – 6 If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.

  4. Theorem 6 – 7 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

  5. Theorem 6 – 8 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

  6. Example 1 Is the Quadrilateral a Parallelogram? Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. A)

  7. C) D) E)

  8. Example 2 Finding Values for Parallelograms A) Find values of x and y for which MLPN must be a parallelogram.

  9. B) Find the values of a and c for which PQRS must be a parallelogram.

  10. C) Find the values of x and y for which GHIJ must be a parallelogram.

  11. D) Find the values of a and c for which GHIJ must be a parallelogram.

  12. Homework:Complete 6 – 3 Ditto QUIZ on 6.1 – 6.3 TUESDAY!

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