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What do you know?

What do you know?. Stretching and Shrinking SIMILAR FIGURES Unit Test Review. What Do You Know?. Enlarging & Reducing Shapes. Similar Figures. Similar Polygons. Similarity & Ratios. Vocabulary. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300.

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What do you know?

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  1. What do you know? Stretching and Shrinking SIMILAR FIGURES Unit Test Review

  2. What Do You Know? Enlarging & Reducing Shapes Similar Figures Similar Polygons Similarity & Ratios Vocabulary 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  3. Vocabulary - 100 Define Similar Check Your Answer

  4. Vocabulary - 100 Same shape, but not the same size. Back to Game Board

  5. Vocabulary - 200 Draw 2 figures and color code their corresponding sides Check Your Answer

  6. Vocabulary - 200 The side in the same relative position on a similar figure. Back to Game Board

  7. Vocabulary - 300 Define Scale Factor Check Your Answer

  8. Vocabulary - 300 The number used to multiply the lengths of a figure to stretch or shrink it to a similar image. Back to Game Board

  9. Vocabulary - 400 Give an example of equivalent ratios. Check Your Answer

  10. Vocabulary - 400 Ratios whose fraction representation are the same. Back to Game Board

  11. Vocabulary - 500 Draw 2 rectangles and color code the adjacent sides. Check Your Answer

  12. Vocabulary - 500 Adjacent is the sides that are touching. Back to Game Board

  13. Investigation 1 - 100 What is 10% of 80? Check Your Answer

  14. Inv. 1 Answer - 100 10% of 80 = 8 Back to Game Board

  15. Investigation 1 - 200 If a three-band stretcher is used to enlarge a rectangle, how will the perimeter of the enlargement compare to the perimeter of the original? Check Your Answer

  16. Inv. 1 Answer - 200 The perimeter of the enlargement will be three times larger than the original. Back to Game Board

  17. Investigation 1 - 300 If a three-band stretcher is used to enlarge a triangle, how will the angles of the enlargement compare to the angles of the original? Check Your Answer

  18. Inv. 1 Answer - 300 Corresponding angles of similar figures have the same measure. Back to Game Board

  19. Investigation 1 - 400 Check Your Answer

  20. Inv. 1 Answer - 400 Back to Game Board

  21. Investigation 1 - 500 If a three-band stretcher is used to enlarge a triangle, how will the area of the enlargement compare to the area of the original? Check Your Answer

  22. Inv. 1 Answer - 500 The area of the enlargement will be 9 times larger. Back to Game Board

  23. Investigation 2 - 100 Suppose you used the rule (6x, 6y) to transform a figure into a new figure. How would the angles of the new figure compare with the angles of the original? Explain. Check Your Answer

  24. Inv. 2 Answer - 100 The angles would be the same because 6 is being multiplied by the length and width. The two figures will be similar which makes their corresponding angles the same! Back to Game Board

  25. Investigation 2 - 200 Write a rule that can be applied to the length and width of a rectangle to create a figure that is not similar. Check Your Answer

  26. Inv. 2 Answer - 200 Answers may vary. Back to Game Board

  27. Investigation 2 - 300 If you enlarge the rectangle below at a scale factor of 200%, what will the new dimensions be? 4 cm 10 cm Check Your Answer

  28. Inv. 2 Answer - 300 8 cm 20 cm • Steps: • Convert 200% to decimal of 2.00 • 2 x 10 = 20 cm • 2 x 4 = 8 cm Back to Game Board

  29. Investigation 2 - 400 Robert graphed a triangle on a coordinate plane. He decided to see what happened if he transformed the shape with the rule (2x, y+1). Which of the following tables could be an actual representation of his original triangle and his transformation? Explain. A B Check Your Answer

  30. Inv. 2 Answer - 400 B. Back to Game Board

  31. Investigation 2 - 500 • Tim wants to create Dug, a friend to Mug on the coordinate plane. His rule for Dug in relation to Mug is (x+1, y+2). Which of the following statements best describes Dug? • Dug will be enlarged so he is 2 times as large as Mug. • Dug will not be similar to Mug. • Dug will be congruent to Mug, but moved 1 space to the right and 2 spaces above Mug. Check Your Answer

  32. Inv. 2 Answer - 500 • Dug will be congruent to Mug, but moved 1 space to the right and 2 spaces above Mug. • (x+1, y+2) does not change the size at all. Adding a number to x and y just moves the figure in the coordinate plane. Back to Game Board

  33. Investigation 3 - 100 The quadrilaterals below are similar. What is the scale factor from the small quadrilateral to the large quadrilateral? Check Your Answer

  34. Inv. 3 Answer - 100 The scale factor is 5. Back to Game Board

  35. Investigation 3 - 200 ABCD is similar to EFGH. What is the scale factor from rectangle ABCD to rectangle EFHG? F E A B 3 cm 6 cm D C G H 9 cm Check Your Answer

  36. Inv. 3 Answer - 200 The scale factor is 2. 6/3 = 2 F E A B 3 cm 6 cm D C G H 9 cm Back to Game Board

  37. Investigation 3 - 300 ABCD is similar to EFGH. What is the scale factor from rectangle EFHG to rectangle ABCD? F E A B 3 cm 6 cm D C G H 9 cm Check Your Answer

  38. Inv. 3 Answer - 300 The scale factor is ½. 3/6 = ½ . ½ is the reciprocal of 2/1. F E A B 3 cm 6 cm D C G H 9 cm Back to Game Board

  39. Investigation 3 - 400 What is the measure of angle T? 50° T Check Your Answer

  40. Inv. 3 Answer - 400 T = 40° 90° + 50° = 140° 180° – 140° = 40° 50° T Back to Game Board

  41. Investigation 3 - 500 ABCD is similar to EFGH. How does the area of ABCD compare to EFGH? Explain. F E A B 3 cm 6 cm D C G H 9 cm Check Your Answer

  42. Inv. 3 Answer – 500 The area is 4 times larger because it is the (scale factor)2 22 = 4 F E A B 3 cm 6 cm D C G H 9 cm Back to Game Board

  43. Investigation 4 - 100 Check Your Answer

  44. Inv. 4 Answer - 100 Back to Game Board

  45. Investigation 4 - 200 Check Your Answer

  46. Inv. 4 Answer - 200 Back to Game Board

  47. Investigation 4 - 300 Back to Game Board

  48. Inv. 4 Answer - 300 Back to Game Board

  49. Investigation 4 - 400 Back to Game Board

  50. Inv. 4 Answer - 400 Back to Game Board

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