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Ways to Prove Quadrilaterals are Parallelograms - Geometry

Discover the five methods to prove a quadrilateral is a parallelogram, including definitions and theorems. Learn about opposite sides, angles, and diagonals. Practice problems and homework review included.

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Ways to Prove Quadrilaterals are Parallelograms - Geometry

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  1. Geometry 5.2 Ways to Prove that Quadrilaterals are Parallelograms

  2. There are 5 Ways to Prove that a Quadrilateral is a • THE FIRST WAY. We already know the first one, by the defn. of that… 1) Both pairs of opp. sides // or Defn. of Parallelogram

  3. THE SECOND WAY (Theorem) ~ 2) Both pairs of opp. sides = Parallelogram

  4. THE THIRD WAY (Theorem) ~ 3) One pair of opp. sides both // and = Parallelogram

  5. THE FOURTH WAY (Theorem) ~ 7 4) Both pairs of opp. ‘s = Parallelogram

  6. THE FIFTH WAY (Theorem) 5) Diagonals bisect each other Parallelogram

  7. The Five Ways to Show a Quadrilateral is a Parallelogram 1) Defn. of ~ 2) Both pairs of opp. sides = ~ 3) One pair of opp. sides both // and = ~ 7 4) Both pairs of opp. ‘s = 5) Diagonals bisect each other

  8. PG 173 CE

  9. 7y 3x y + 12 x2 3y 3y – 8 2x + 15 (2x – 5) 123 45 4y + 21

  10. Given: Prove: W M X N Z Y REVIEW: Angle Bisector Theorem for problem #15

  11. HW • P. 174 (1-10, 14, 19-22) P. 384 (17) Canned foods

  12. One from the HW • P. 174 #6 Has two possible answers

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