parallelograms n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
MM1G3.d PowerPoint Presentation
Download Presentation
MM1G3.d

Loading in 2 Seconds...

play fullscreen
1 / 4

MM1G3.d - PowerPoint PPT Presentation


  • 100 Views
  • Uploaded on

Parallelograms. MM1G3.d. B. C. D. A. Parallelogram. Definition:. A quadrilateral whose opposite sides are parallel. A parallelogram is named using all four vertices. You can start from any one vertex, but you must continue in a clockwise or counterclockwise direction.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'MM1G3.d' - page


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
parallelogram

B

C

D

A

Parallelogram

Definition:

A quadrilateral whose opposite sides are parallel.

  • A parallelogram is named using all four vertices.
  • You can start from any one vertex, but you must continue in a clockwise or counterclockwise direction.
  • For example, the figure above can be either ABCD or ADCB.

Symbol:

a smaller version

of a parallelogram

Naming:

properties of parallelogram

A

B

Properties of Parallelogram

P

D

C

1. Both pairs of opposite sides are congruent.

2. Both pairs of opposite angles are congruent.

3. Consecutive angles are supplementary.

4. Diagonals bisect each other but are not congruent

P is the midpoint of .

examples

H

K

Examples

M

P

L

  • Draw HKLP.
  • HK = _______ and HP = ________ .
  • m<K = m<______ .
  • m<L + m<______ = 180.
  • If m<P = 65, then m<H = ____,m<K = ______ and m<L =____.
  • Draw the diagonals with their point of intersection labeled M.
  • If HM = 5, then ML = ____ .
  • If KM = 7, then KP = ____ .
  • If HL = 15, then ML = ____ .
  • If m<HPK = 36, then m<PKL = _____ .

PL

KL

P

P or K

115°

115°

65

5 units

14 units

7.5 units

36;

(Alternate interior angles are congruent.)