1. Chapter 8

2. 2 3 4 6 The means are _____ The extremes are ____ ___ =

3. Means: 3 and 4 Extremes: 2 and 6

4. In a proportion, the product of the _____ equals the product of the _____

5. In a proportion, the product of the means equals the product of the extremes

6. What symbol is used for “similar”?

7. ~

8. For similar polygons, corresponding angles are ____ and corresponding sides are ____

9. For similar polygons, corresponding angles are congruent and corresponding sides are proportional

10. If DOG ~ CAT then D ~ ___ and G ~ ____ ==

11. If DOG ~ CAT then D C and G T == ~~

12. Always, sometimes or never? Two congruent polygons are _____ similar

13. Two congruent polygons are always similar

14. Always, sometimes or never? Two rectangles are _____ similar

15. Two rectangles are sometimes similar

16. The ratio of the length:width of a Golden Rectangle is (approximately) _____ : _____

17. The ratio of the length:width of a Golden Rectangle is (approximately) 1.62 : 1

18. If BAD ~ CAT then complete the proportion: A B DC T a b c == a b c x y z

19. a b c y x z == ___

20. Complete the proportion: 3 4 x 34 8 15 x y ==

21. 3 4 x 34 8 15 x y == 3 + y1215 (scale factor = 1:3)

22. Multiply (x + 3)(x – 5)

23. (x + 3)(x – 5) = x 2 – 5x + 3x – 15 F O I L = x 2 – 2x - 15

24. SOLVE BY FACTORING: x 2 – 9 = 0 x 2 + 3x –18 = 0

25. x 2 – 9 = 0 (x – 3)(x + 3) = 0 x = 3 or -3 x 2 + 3x –18 = 0 (x + 6)(x – 3)= 0 x = -6 or 3

26. Complete the proportion: 105 x __ =

27. 10 x x 5 = hyp 1 alt alt hyp 2 _____ = __ __

28. Complete the proportion: 105 y __ =

29. 10 y y 15 = hyp 1 leg 1 leg 1 hyp _____ = __ __

30. Complete the proportion: 105 z __ =

31. 5 z z 15 = hyp 2 leg 2 leg 2 hyp _____ = __ __

32. Find the Geometric Mean of 4 and 8

33. (4)(8) 32 42 = = (Square root of product)

34. Complete the proportion: a b ___ = a b x y

35. a b ___ = a b x y x y

36. Complete the proportion: a b ___ = ? ? a b c d

37. = a b c d c d a b

38. For similar polygons, the ratio of perimeters equals the _________

39. For similar polygons, the ratio of perimeters equals the scale factor

40. Complete for similar polygons/circles: Scale Factor = 2 : 3 Perimeter/Circumference Ratio = _____ Area Ratio = _____

41. Perimeter Ratio = 2 : 3 Area Ratio = 4 : 9 (2 2 : 3 2 )