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CHAPTER 6: QUADRILATERALS

CHAPTER 6: QUADRILATERALS. Section 6-3: Proving that a Quadrilateral is a Parallelogram. Objective. To determine whether a quadrilateral is a parallelogram. Theorem 6-5:. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

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CHAPTER 6: QUADRILATERALS

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  1. CHAPTER 6:QUADRILATERALS Section 6-3: Proving that a Quadrilateral is a Parallelogram

  2. Objective • To determine whether a quadrilateral is a parallelogram.

  3. Theorem 6-5: • If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

  4. Theorem 6-6 • If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

  5. Theorem 6-7: • If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

  6. Theorem 6-8: • If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.

  7. Is the quadrilateral a parallelogram? • Can you prove the quadrilateral is a parallelogram from what is given? Explain.

  8. Is the quadrilateral a parallelogram? • Can you prove the quadrilateral is a parallelogram from what is given? Explain.

  9. Is the quadrilateral a parallelogram? • Can you prove the quadrilateral is a parallelogram from what is given? Explain.

  10. Is the quadrilateral a parallelogram? • Can you prove the quadrilateral is a parallelogram from what is given? Explain.

  11. Finding Values for Parallelograms • For what value of x must MLPN be a parallelogram?

  12. Finding Values for Parallelograms • For what value of a and c must PQRS be a parallelogram?

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