1 / 16

Properties of Parallelograms

Properties of Parallelograms. Ch 6-2. Parallelogram or //ogram or. Definition: A quadrilateral with opposite sides parallel. 1. 5. 2. 6. 3. 7. 4. 8. 2  4 Corr  Thm 4  7 Alt. Int.  Thm 2  7 Trans. Prop. . 6  8 Corr  Thm

Download Presentation

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. Properties of Parallelograms Ch 6-2

  2. Parallelogram or //ogram or • Definition: A quadrilateral with opposite sides parallel.

  3. 1 5 2 6 3 7 4 8 2  4 Corr  Thm 4  7 Alt. Int.  Thm 2  7 Trans. Prop.  6  8 Corr  Thm 8  3 Alt. Int.  Thm 6  3 Trans. Prop. 

  4. //ograms  Opposite s are 

  5. 1 5 6 2 3 7 4 8 1 and 2 are Supp. Linear Pair Thm 1  3 Corr.  Thm 2 and 3 are Supp. Substitution or Consec. Int.  Thm

  6. Q R S T //ograms  Consecutive angles are supplementary. mQ + mR = 180o mR + mS = 180o mS + mT = 180o mT + mQ = 180o

  7. Not on vocab sheet! If a parallelogram has one right angle, then it has four right angles.

  8. A B 1 3 4 2 C D 1  2 Opposite  are  3  4 Alt. Int.  Thm Reflexive Prop.  ABC  DCB AAS   Thm Corr. Parts of  figures are 

  9. Parallelograms  Opposite sides are 

  10. A B E C D AB  CD Opposite sides  AE  DE CE  BE Corr. Parts of  figures are  E is the midpoint of AD and CB Def of Midpt. ABE  DCE Alt. Int.  Thm BAE  CDE Alt. Int.  Thm ABE  DCE ASA   Thm

  11. //ograms  Diagonals bisect each other.

  12. Diagonals of a parallelogram separates the parallelogram into two congruent triangles. ACD CAB A B C D

  13. ABCD is a parallelogram. Find x. 4 5 8 20 • A • B • C • D

  14. ABCD is a parallelogram. Find mBCD. 54 64 62 58

  15. ABCD is a parallelogram. Find mBDC. 54 64 62 58 • A • B • C • D

  16. Homework Chapter 6-2 Pg 328: # 3-11, 13proof, 15-30, 46-49

More Related