1. The Fundamental Theorem of Similarity

2. The FTS 4 8 10 I 5 II Find the scale factor (ratio of similitude):

3. The FTS 4 8 10 I 5 II Find the perimeter of figure I:

4. The FTS 4 8 10 I 5 II Find the perimeter of figure II:

5. The FTS 4 8 10 I 5 II Find the area of figure I:

6. The FTS 4 8 10 I 5 II Find the area of figure II:

7. The FTS Find the scale factor (ratio of similitude):

8. The FTS Find the perimeter of figure I:

9. The FTS Find the perimeter of figure II:

10. The FTS Find the area of figure I (exact answer):

11. The FTS Find the area of figure II (exact answer):

12. The FTS Find the scale factor (ratio of similitude): I II 3 12

13. The FTS Find the surface area of figure I (exact): I II 3 12

14. The FTS Find the surface area of figure II (exact): I II 3 12

15. The FTS Find the volume of figure I (exact): I II 3 12

16. The FTS Find the volume of figure II (exact): I II 3 12

17. FTS If two figures are similar with a ratio of similitude k, then –Corresponding angles are equal –Corresponding lengths & perimeters are in the ratio k –Corresponding areas are in the ratio k 2 –Corresponding volumes are in the ratio k 3

18. FTS The lengths of the sides of triangle ABC are 12, 15, and 17. The length of the shortest side of triangle DEF is 5. If triangle ABC ~ triangle DEF, what is the perimeter of triangle DEF? How do their areas compare?

19. FTS If A~A’ and k = and area (A) = 56 in 2, what is area (A’)?

20. FTS Corresponding edges of two similar pyramids are 8 in. and 12 in. –Find the volume of the larger pyramid if the smaller one has a volume 75 in 3

21. FTS Corresponding edges of two similar pyramids are 8 in. and 12 in. –Find the volume of the smaller pyramid if the larger one has a volume 75 in 3