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Lesson 7-1

I can determine whether a dilation is an enlargement, a reduction or congruence transformation. I can determine the scale factor for a given dilation. Lesson 7-1. size. image. preimage. enlargement. reduction. congruent. reduction. enlargement. 3/6 or 0.5. 6/4 or 1.5. 3. A’.

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Lesson 7-1

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  1. I can determine whether a dilation is an enlargement, a reduction or congruence transformation I can determine the scale factor for a given dilation Lesson 7-1

  2. size

  3. image preimage enlargement reduction congruent

  4. reduction enlargement 3/6 or 0.5 6/4 or 1.5

  5. 3 A’ enlargement 66 mm 22 mm 28 mm 84 mm 22 mm 66 mm C’ B’

  6. 1/3 reduction A’ B’ D’ C’

  7. P’(rx, ry)

  8. (-4, 4) (-2, -6) (6, 6)

  9. (-2, 1.5) (-1, -2) (2.5, -1)

  10. image r = preimage 6 4 = x x = 1.5

  11. image r = preimage 2 x = 3 5 x = 3.33

  12. 180 in 4 1 = 0.0167 = 96 in 240 60 240 in 4 x = x = 3 in 240 180

  13. 60 = 30 2 60 x 60 in = 2 5 x = 150 in

  14. ASSIGNMENT 7-1 worksheet

  15. I can write ratios. I can use properties of proportions. Lesson 7-2

  16. quotient a : b with the same units Write with : or as a fraction, a/b

  17. females : males

  18. elective : non-elective 2 : 3

  19. a : b : c Ex: ratio of freshmen to sophomores to juniors Cannot be written as a fraction

  20. 84 7 x 240 5x + 7x + 8x = 5 x 20x = 240 60 96 8 x x = 12

  21. 24° 2 x 180 2x + 10x + 3x = 3 x 36° 15x = 180 x 10 120° x = 12

  22. 7x L W 3x 3x 140 20x = x = 7 7x L = 49

  23. fractions equal diagonals 4(5) = 10(2)

  24. 72 8y = 163.8 6x = y = 9 x = 27.3

  25. 40 4(2x + 3) = 4(x + 1) 3(x – 1) = 8x + 12 = 40 4x + 4 3x – 3 = x = 3.5 x = -7

  26. length width 40x = 16 40 144 = 9 x x = 3.6 3.6 inches

  27. miles inches 4 x x = 14 = 1 3.5 14 miles

  28. gal miles 5 x x = 14.58333 = 350 120 14.6 gallons

  29. ? 5 wide 3.5 18 tall 5 x = x = 25.7143 18 3.5 25.7 inches

  30. ASSIGNMENT 7-2 worksheet

  31. I can identify similar figures. I can find missing side lengths in similar figures. Lesson 7-3

  32. PENTOMINOES

  33. Use 4 tiles to make this shape

  34. DOUBLING • Work with your partner to make a shape like the “F” tile, but twice as big • Use colored pencils to record your answer on the back of the worksheet • Double as many other Pentominoes as you can. Use the grid paper if needed • Record all answers using colored pencils

  35. 4 2 4 6 2 3 1 2

  36. shape size shape size

  37. congruent proportional congruent similar

  38. 12 15 18 9 10 12 8 6 All = 1.5 Similar, all angles congruent, all sides proportional.

  39. 10 8 6 4 3 5 All = 2 X 5 3 Y Z 4 Similar, all angles congruent, all sides proportional.

  40. 13 14 = x 7 x = 6.5

  41. x = 6 8 x = 9 12 y = 15 8 10 = y 12

  42. 27 Find x first 18 12 = x 18 x = 27

  43. 27 Find y next! y + 1 12 = 24 18 18(y + 1) = 288 x = 27, y = 15 18y + 18 = 288 y = 15

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