1. Similarity in Right Triangles
Geometry 8-4

2. Supplies
One sheet of computer paper
Scissors
Exploration

3. Cut a sheet of paper into a rectangle (fold to create a perfect rectangle)
Don’t be lazy and use the whole sheet of paper
Exploration

4. Draw a diagonal on the paper, and cut
Exploration

5. Fold and cut along the altitude of one triangle
Exploration

6. Label the angles as shown5 7 2 4 6 8 9 1 3
Exploration

7. Exploration Compare the angles on the three triangles 5 7 2 4 6 8 9 13
Exploration

8. Exploration Which angles are congruent to angle 1?
4 and 7
6 and 8
5 and 9 5 7 2 4 6 8 9 1 3
Exploration

9. Exploration So... What is true about all three triangles?
They are similar 5 7 2 4 6 8 9 1 3
Exploration

10. Write a similarity statementC A B D
Exploration

11. Geometric Mean – A proportion with the same variable in each fraction as shown
Geometric Means

12. Example

13. Theorem and corollaries

14. Theorem and corollaries

15. Example

16. Example

17. Example

18. Example

19. Practice

20. Practice

21. Practice

22. Practice

23. Practice

24. Practice

25. Practice

26. Practice

27. Practice

28. Pages 442 – 444
15, 18, 30 – 36 even, 42, 44, 50, 52,
Homework