6 3 Proving that Quadrilateral is a Parallelogram
![[6 -3] Proving that Quadrilateral is a Parallelogram Mr. Joshua Doudt Geometry (H) Pg.](https://slidetodoc.com/presentation_image_h2/b4dd1a2494dce862a7a7185a609ad529/image-1.jpg "[6 -3] Proving that Quadrilateral is a Parallelogram Mr. Joshua Doudt Geometry (H) Pg.")
- Slides: 17
[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 •
Deciding Whether a Quadrilateral is Parallelogram •
Deciding Whether a Quadrilateral is 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