1. Chapter 8 mini unit

2. Learning Target I can use proportions to find missing values of similar triangles.

3. 8-1 Solving Proportions

5. Similarity

6. 8-2 Similar Polygons

7. Are the polygons similar? If so, write a similarity statement and state the similarity ratio

10. On 8-2, work on #1-12

11. The polygons are similar, find the missing value

13. Do 8-2 #13-23

14. 8.3 Triangle Similarity Theorems – AA – SAS – SSS

15. In the following problems, if the triangles are similar, state why and write a similarity statement.

20. On 8-3, do #1-6

21. Explain why the triangles are similar and find the value of x

22. On 8-3, do #7-12 skip 11(unless you want a challenge)

23. Warmup

24. 8.4 SIMILARITY IN RIGHT TRIANGLES

26. Find the geometric mean of 4 and 18 Find the geometric mean of 15 and 20

27. Do 8-4 #1-6

28. Notes The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other. Which triangles Are similar?

29. Notes The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse. EX:

30. Geometric Mean Example

31. Find the value of x

33. Find the missing variables

34. 8.5 Proportions in Triangles

35. Side Splitter Theorem If a line is parallel to one side of a triangle and intersects the other two sides then it divides those sides proportionally (Examples on next slide)

36. Side Splitter Theorem

40. TRIANGLE ANGLE BISECTOR THEOREM If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle

45. REVIEW FOR QUIZ (Paper Review) or? P.419 12-21,66 P.426 9-16, 21-28 P.436 4-19 P.442 1-8, 15-20 P.448 1-3, 11-16