1. Parallel Lines and Proportional Parts and Parts of Similar Triangles
Chapter 7.4 and 7.5
Parallel Lines and Proportional Parts and Parts of Similar Triangles

2. Concept

3. Find the Length of a Side

4. A. 2.29 B
C. 12 D

5. Concept

6. Determine if Lines are Parallel

7. A. yes
B. no
C. cannot be determined

8. Midsegment of a triangle
A midsegment of a triangle is a segment with endpoints that are the midpoints of two sides of the triangle. Every triangle has three midsegments.
Midsegment of a triangle

9. Concept

10. A. In the figure, DE and EF are midsegments of ΔABC. Find AB.
Use the Triangle Midsegment Theorem
A. In the figure, DE and EF are midsegments of ΔABC. Find AB.

11. B. In the figure, DE and EF are midsegments of ΔABC. Find FE.
Use the Triangle Midsegment Theorem
B. In the figure, DE and EF are midsegments of ΔABC. Find FE.

12. C. In the figure, DE and EF are midsegments of ΔABC. Find mAFE.
Use the Triangle Midsegment Theorem
C. In the figure, DE and EF are midsegments of ΔABC. Find mAFE.

13. A. In the figure, DE and DF are midsegments of ΔABC. Find BC.

14. B. In the figure, DE and DF are midsegments of ΔABC. Find DE.

15. C. In the figure, DE and DF are midsegments of ΔABC. Find mAFD.

16. Concept

17. Use Proportional Segments of Transversals
MAPS In the figure, Larch, Maple, and Nuthatch Streets are all parallel. The figure shows the distances in between city blocks. Find x.

18. In the figure, Davis, Broad, and Main Streets are all parallel
In the figure, Davis, Broad, and Main Streets are all parallel. The figure shows the distances in between city blocks. Find x.
A. 4
B. 5
C. 6
D. 7

19. Concept

20. Use Congruent Segments of Transversals
ALGEBRA Find x and y.

21. Find a and b.
A ;
B. 1; 2
C. 11;
D. 7; 3 __ 2 3

22. Concept

23. In the figure, ΔLJK ~ ΔSQR. Find the value of x.
Use Special Segments in Similar Triangles
In the figure, ΔLJK ~ ΔSQR. Find the value of x.
MK and TR are corresponding medians and LJ and SQ are corresponding sides. JL = 2x and QS = 2(5) or 10.

24. In the figure, ΔABC ~ ΔFGH. Find the value of x.

25. Concept

26. Use the Triangle Angle Bisector Theorem
Find x.

27. Find n.
A. 10
B. 15
C. 20
D. 25