1 / 13

Proving That a Quadrilateral is a Parallelogram

Proving That a Quadrilateral is a Parallelogram. Chapter 6 Section 3. Objective. Students will determine whether a quadrilateral is a parallelogram. Parallelogram. You can decide whether a quadrilateral is a parallelogram if its sides, angles, and diagonals have certain properties.

tevin
Download Presentation

Proving That a Quadrilateral is a Parallelogram

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Proving That a Quadrilateral is a Parallelogram Chapter 6 Section 3

  2. Objective • Students will determine whether a quadrilateral is a parallelogram.

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

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

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

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

  7. On page 368… • Look at Problem 1

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

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

  10. On page 370… • Look at Problem 2.

  11. Proving That a Quadrilateral is a Parallelogram • Prove that both pairs of opposite sides are parallel • Prove that both pairs of opposite sides are congruent • Prove that an angle is supplementary to both of its consecutive angles. • Prove that both pairs of opposite angles are congruent • Prove that the diagonals bisect each other • Prove that one pair of opposite sides is congruent and parallel.

  12. On page 372… • Try problems #1-6 on your own.

  13. Beginning on page 372… • Complete problems #7-28.

More Related