1 / 9

5-1 Properties of Parallelograms

5-1 Properties of Parallelograms. Ch. 5 Test: Fri Dec. 2. Parallelogram. A quadrilateral where both pairs of opposite sides are parallel. x. z. Remember your properties for parallel lines. y. x and y are SSI angles Therefore, x and y are supplements x + y = 180

Download Presentation

5-1 Properties of Parallelograms

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. 5-1 Properties of Parallelograms Ch. 5 Test: Fri Dec. 2

  2. Parallelogram • A quadrilateral where both pairs of opposite sides are parallel.

  3. x z Remember your properties for parallel lines y • x and y are SSI angles • Therefore, x and y are supplements x + y = 180 • x and z are also SSI therefore also supplements x + z = 180 • So, y = z • Supps of the same angle are congruent.

  4. x Theorem y • Opposite angles of a parallelogram are congruent. (x and Y are “opposite angles”) • Opposite sides of a parallelogram are congruent. • Diagonals of a parallelogram bisect each other.

  5. Example Given: BC = 8, AB = 15, EC = 8, DB = 18. Find: AD DC AE AC BE DE 8 A 15 B 15 8 E 8 16 8 18 9 C D 9

  6. Example Given: Angle ADC = 82, Angle EDC = 26 Find angles: ADE ABC EBC BCD BEC A 56 B 82 82 9 56 E 56 56 8 8 56 98 82 98 56 26 C D

  7. B C 5 E 7 6 D A TOO—on whiteboards • If ABCD is a parallelogram, what is the length of segment BD? A) 10 B) 11 C) 12 D) 5

  8. TOO—on WBs Solve for x, y and z 12 130 10 x y z

  9. Homework • Pg. 169-170 #1-12, 16 (4 steps), 19-23 • Flashcards • Definition of Parallelogram • 3 Theorems

More Related