1 / 8

Parallelograms

Parallelograms. B. C. D. A. Parallelogram. Definition:. A quadrilateral with both pairs of opposite sides parallel. The symbol for parallelogram is a smaller version of the figure. A parallelogram is named using all four vertices.

edan
Télécharger la présentation

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. Parallelograms

  2. B C D A Parallelogram Definition: A quadrilateral with both pairs of opposite sides parallel. • The symbol for parallelogram is a smaller version of the figure. • 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.

  3. 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. Diagonals bisect each other but are not congruent P is the midpoint of AC and BD, so BP = PD and AP = PC.

  4. H Examples K 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° 65° 115° 5 units (Alternate interior angles are congruent.) 14 units 7.5 units 36°

  5. Examples • ABCD is a parallelogram. Find the values of x, y, and z.

  6. Example 2: In GEOM, EA = 2x2 + 5x and AM = 4x + 2. Find the value of x. What are EA and AM? G M A E O

  7. Example 3. Given TRAC. If TC = 3x - 5 and RA = 25, solve for x. T R 3 4 K 1 2 If m∠CTR = 2y - 13 and m∠ACT = y + 1. Find y. C A

  8. Example 4

More Related