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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’.

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Parallel Lines and Proportional Parts

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  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

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