1 / 16

Parallel Lines and Proportional Parts

Parallel Lines and Proportional Parts. Activity. You need lined paper and a ruler Draw a dark line over the line at the top of your lined paper. Count down four lines and draw a dark line over that line. Count down six lines and repeat the dark line. Activity Cont’.

Download Presentation

Parallel Lines and Proportional Parts

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. Parallel Lines and Proportional Parts

  2. Activity • You need lined paper and a ruler • Draw a dark line over the line at the top of your lined paper. • Count down four lines and draw a dark line over that line. • Count down six lines and repeat the dark line

  3. Activity Cont’ • Draw 3 different transversals that cross each of the parallel lines you drew. Label the points of intersection as shown. (See next slide)

  4. A D G B E H C F I

  5. Measure • Measure

  6. Caculate ratios • Calculate each set of ratios to determine whether the ratios in each set are equivalent to each other.

  7. Conclusions • Do the parallel lines divide the transversal proportionally? • How do you know?

  8. CD BC D FG EF C B AD FG A AG AB AB AE E F G Theorem • If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally. BC AC = = AF EF CD = = AE

  9. Theorem • If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. D C BE CF GD B E F G

  10. Practice • Complete the proportion

  11. Practice #2 • In the figure Find the value of x

  12. Answer

  13. Practice #3 • In the figure find the value of x.

  14. Answer

  15. Assignment • Complete worksheet “9-6” on proportional parts of parallel lines

More Related