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6.3 Proving That a Quadrilateral is a Parallelogram

6.3 Proving That a Quadrilateral is a Parallelogram. Chapter 6 Quadrilaterals. 6.3 Proving That a Quadrilateral is a Parallelogram. Theorem 6-5: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. 6.3 Parallelograms. Theorem 6-6

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6.3 Proving That a Quadrilateral is a Parallelogram

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  1. 6.3 Proving That a Quadrilateral is a Parallelogram Chapter 6 Quadrilaterals

  2. 6.3 Proving That a Quadrilateral is a Parallelogram • Theorem 6-5: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

  3. 6.3 Parallelograms • Theorem 6-6 If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram

  4. Finding Values • Find the values of x and y for which MLPN must be a parallelogram. L P 2y - 7 x + 5 y + 2 3x M N

  5. Finding Values • Find the values of a and c for which PQRS must be a parallelogram. Q R a (a + 40) 3c – 3 c + 1 S P

  6. 6.3 Parallelograms • Theorem 6-7 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. • Theorem 6-8 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

  7. Is the Quadrilateral a Parallelogram? 95° 95° 95 x x

  8. Practice: • Pg 307 1-16, 26-29

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