1. 8.6: Proportions and Similar Triangles
GEOMETRY: Chapter 8
8.6: Proportions and Similar Triangles

2. Theorem 8.4. Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.
Image taken from: Geometry. McDougal Littell: Boston, P. 397.

3. Theorem 8.5. Converse of the Triangle Proportionality Theorem
If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
Image taken from: Geometry. McDougal Littell: Boston, P. 397.

4. Ex. 1:
Image taken from: Geometry. McDougal Littell: Boston, P. 398.

5. Ex. 1:
Answer: 9
Image taken from: Geometry. McDougal Littell: Boston, P. 398.

6. Ex. 2:
A brace is added to a tree house as shown. Explain why the brace is not parallel to the floor.
Image taken from: Geometry. McDougal Littell: Boston, P. 389.

7. Ex. 2:
A brace is added to a tree house as shown. Explain why the brace is not parallel to the floor.
Image taken from: Geometry. McDougal Littell: Boston, P. 389.

8. Theorem 8.6:
If three parallel lines intersect two transversals, then they divide the transversals proportionally.
Image taken from: Geometry. McDougal Littell: Boston, P. 398.

9. Theorem 8.7:
If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides.
Image taken from: Geometry. McDougal Littell: Boston, P. 398.

10. Ex. 3. Using the information in the diagram, find the distance between First Street and Main Street.
Image taken from: Geometry. McDougal Littell: Boston, P. 399.

11. Ex. 3. Using the information in the diagram, find the distance between First Street and Main Street.
Answer: 510 m
Image taken from: Geometry. McDougal Littell: Boston, P. 399.

12. Ex.4
Image taken from: Geometry. McDougal Littell: Boston, P. 391.

13. Ex.4
Answer: 22 6/7
Image taken from: Geometry. McDougal Littell: Boston, P. 391.

14. 8.6, p. 502, #3-14 all, all
(20 questions)