5.2 Ways to Prove that Quadrilaterals are Parallelograms Geometry 5.2 Ways to Prove that Quadrilaterals are Parallelograms

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

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

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

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

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

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 = ~ 4) Both pairs of opp. ‘s = 7 5) Diagonals bisect each other

PG 173 CE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

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

REVIEW: Angle Bisector Theorem for problem #15 1. 2. 3. 4. 5. Given: Prove: W M X N Z Y REVIEW: Angle Bisector Theorem for problem #15

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

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