6 3 Proving that Quadrilateral is a Parallelogram

Objective • To determine whether a quadrilateral is a parallelogram

Essential Understanding • You can decide whether a quadrilateral is a parallelogram if its

Theorem 6 -8 • If both pairs of opposite sides of a quadrilateral are

Theorem 6 -9 • If an angle of a quadrilateral is supplementary to both

Theorem 6 -10 • If both pairs of opposite angles of a quadrilateral are

Theorem 6 -11 • If the diagonals of a quadrilateral bisect each other, then

Theorem 6 -12 • If one pair of opposite sides of a quadrilateral is

Finding Values for Parallelogram • For what value of y must ABCD be a

Deciding Whether a Quadrilateral is Parallelogram •

Joke Time • Why do mother kangaroos hate rainy days? • Because the kids

Slides: 17

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[6 -3] Proving that Quadrilateral is a Parallelogram Mr. Joshua Doudt Geometry (H) Pg. 367 - 374

Objective • To determine whether a quadrilateral is a parallelogram

Lesson Vocabulary • None

Essential Understanding • You can decide whether a quadrilateral is a parallelogram if its sides, angles, and diagonals have certain properties.

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

Theorem 6 -9 • If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is parallelogram.

Theorem 6 -10 • If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is parallelogram

Theorem 6 -11 • If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

Theorem 6 -12 • If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is parallelogram.

Summary

Finding Values for Parallelogram • For what value of y must ABCD be a parallelogram

Deciding Whether a Quadrilateral is Parallelogram •

Joke Time • Why do mother kangaroos hate rainy days? • Because the kids have to play inside. • Why did the chicken go to the middle of the road? • To lay it on the line. • Why did the chicken cross the basketball court to talk with the ref? • Because he was calling all fowls!

Homework • Pg 372 • #7 -16