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Honors Geometry

Honors Geometry. 6.3 Proving Quadrilaterals are Parallelograms. Warm Up. Give the definition, theorem, or postulate that justifies the statement. If ABCD is a parallelogram, then AB = DC and AD = BC. If MNPQ is a parallelogram, then MP bisects NQ. Is it a parallelogram?.

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Honors Geometry

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  1. Honors Geometry 6.3 Proving Quadrilaterals are Parallelograms

  2. Warm Up Give the definition, theorem, or postulate that justifies the statement. • If ABCD is a parallelogram, then AB = DC and AD = BC. • If MNPQ is a parallelogram, then MP bisects NQ.

  3. Is it a parallelogram? Try to draw a figure ABCD that has the given properties but is not a parallelogram.

  4. Theorem 6.6

  5. Theorem 6.7

  6. Theorem 6.8

  7. Theorem 6.9

  8. On Your Own

  9. Theorem 6.10

  10. Coordinate Proof

  11. Prove the Diagonals Bisect A(-1, 6), B(3, 5), C(5, -3) and D(1, -2)

  12. Closure Name 6 ways you can prove a quadrilateral is a parallelogram.

  13. Homework Practice B Worksheet

  14. 6.1 – 6.3 Review Quiz 1 • convex, equilateral • Y = 20 4. • Use slopes to show that both pairs of opp. sides are parallel • Use the Distance Formula to show that both pairs of opp. sides are congruent • Use slope and the Distance Formula to show that one pair of opp. sides are both parallel and congruent • Use the Midpoint Formula to show that the diagonals bisect each other

  15. 6.1 – 6.3 Review • convex, equilateral, equiangular, regular • X = 35 4. • Use slopes to show that both pairs of opp. sides are parallel • Use the Distance Formula to show that both pairs of opp. sides are congruent • Use slope and the Distance Formula to show that one pair of opp. sides are both parallel and congruent • Use the Midpoint Formula to show that the diagonals bisect each other

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