1. Parallel Lines and Proportional Parts

2. Warm Up
Solve each proportion.

3. Triangle Proportionality:
If a line is parallel to one side of a triangle and intersects the other two, then it separates the sides into segments of proportional lengths.

4. Find US.
Find PN.

5. A segment whose endpoints are the midpoints of 2 sides of a triangle is parallel to the third side and its length is ½ the length of the third side.

6. If three or more parallel lines intersect 2 transversals, then they cut off the transversals proportionally.

7. Suppose that an artist decided to make a larger sketch of the trees
Suppose that an artist decided to make a larger sketch of the trees. In the figure, if AB = 4.5 in., BC = 2.6 in., CD = 4.1 in., and KL = 4.9 in., find LM and MN to the nearest tenth of an inch.

8. What is wrong with these proportions?

11. EC // AB. Find x and y.

12. Find x and y.

13. Find x so that BD // AE. ED = 8, DC = 20, BC = 25, AB = x.
BC = 12, AB = 6, ED = 8, DC = X – 4.
ED = X – 5, DC = 15, CB = 18, AB = X – 4.

20. Find PS and SR.

21. Find AC and DC.

24. Lesson Quiz
Find the length of each segment.