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Chapter 8

Chapter 8. 2 3 4 6. ___. ___. =. The means are _____ The extremes are ____. Means: 3 and 4 Extremes: 2 and 6. In a proportion, the product of the _____ equals the product of the _____. In a proportion, the product of the means equals the product of the extremes.

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Chapter 8

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  1. Chapter 8

  2. 2 34 6 ___ ___ = The means are _____ The extremes are ____

  3. Means: 3 and 4Extremes: 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 ____ andcorresponding sides are ____

  9. For similar polygons,corresponding angles are congruent andcorresponding 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 Rectangleis (approximately) _____ : _____

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

  18. If BAD ~ CAT thencomplete the proportion: B T z a x A b c y C D ab c = =

  19. a b cy x z = = ___ ___ ___

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

  21. 34x = = 3 + y 12 15 (scale factor = 1:3) 3 4 x y 8 15

  22. Multiply (x + 3)(x – 5)

  23. (x + 3)(x – 5) = x2 – 5x + 3x – 15F O I L= x2 – 2x - 15

  24. SOLVE BY FACTORING:x2 – 9 = 0x2 + 3x –18 = 0

  25. x2 – 9 = 0 (x – 3)(x + 3) = 0 x = 3 or -3 x2 + 3x –18 = 0 (x + 6)(x – 3)= 0 x = -6 or 3

  26. Complete the proportion: __ __ = x 10 5

  27. __ __ 10 xx 5 = hyp1alt alt hyp2 _____ _____ =

  28. Complete the proportion: __ __ y = 10 5

  29. 10 y y 15 __ __ = hyp1leg1 leg1 hyp _____ _____ =

  30. Complete the proportion: __ __ = z 10 5

  31. 5 z z 15 __ __ = hyp2leg2 leg2 hyp _____ _____ =

  32. Find the Geometric Mean of 4 and 8

  33. 32 (4)(8) = 4 2 = (Square root of product)

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

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

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

  37. a c ___ = ___ b d a c b d

  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 : 3Area Ratio = 4 : 9 (22 : 32)

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