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

2. Enlarging & Reducing Shapes
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
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4. Same shape, but not the same size.
Vocabulary - 100
Same shape, but not the same size.
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5. Draw 2 figures and color code their corresponding sides
Vocabulary - 200
Draw 2 figures and color code their corresponding sides
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6. The side in the same relative position on a similar figure.
Vocabulary - 200
The side in the same relative position on a similar figure.
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7. Vocabulary - 300
Define Scale Factor
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8. Vocabulary - 300
The number used to multiply the lengths of a figure to stretch or shrink it to a similar image.
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9. Give an example of equivalent ratios.
Vocabulary - 400
Give an example of equivalent ratios.
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10. Ratios whose fraction representation are the same.
Vocabulary - 400
Ratios whose fraction representation are the same.
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11. Draw 2 rectangles and color code the adjacent sides.
Vocabulary - 500
Draw 2 rectangles and color code the adjacent sides.
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12. Adjacent is the sides that are touching.
Vocabulary - 500
Adjacent is the sides that are touching.
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13. Investigation
What is 10% of 80?
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14. Inv. 1 Answer - 100
10% of 80 = 8
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15. Investigation
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?
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16. Inv. 1 Answer - 200
The perimeter of the enlargement will be three times larger than the original.
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17. Investigation
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?
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18. Corresponding angles of similar figures have the same measure.
Inv. 1 Answer - 300
Corresponding angles of similar figures have the same measure.
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19. Investigation
Check Your Answer

20. Inv. 1 Answer - 400
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21. Investigation 1 - 500 Check Your Answer
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?
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22. Inv. 1 Answer - 500
The area of the enlargement will be 9 times larger.
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23. Investigation 2 - 100 Check Your Answer
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.
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24. Inv. 2 Answer - 100 Back to Game Board
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!
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25. Investigation 2 - 200 Check Your Answer
Write a rule that can be applied to the length and width of a rectangle to create a figure that is not similar.
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26. Inv. 2 Answer - 200
Answers may vary.
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27. Investigation
If you enlarge the rectangle below at a scale factor of 200%, what will the new dimensions be?
4 cm
10 cm
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28. Inv. 2 Answer - 300 Back to Game Board 8 cm 20 cm Steps:
Convert 200% to decimal of 2.00
2 x 10 = 20 cm
2 x 4 = 8 cm
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29. Investigation 2 - 400 Check Your Answer
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
(x, y)
(2, 1)
(6, 1)
(4, 6)
(2x, y +1)
(4, 2)
(12, 1)
(8, 7)
(x, y)
(2, 1)
(6, 1)
(4, 6)
(2x, y +1)
(4, 2)
(12, 2)
(8, 7)
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30. Inv. 2 Answer - 400 Back to Game Board B. (x, y) (2, 1) (6, 1) (4, 6)
(4, 2)
(12, 2)
(8, 7)
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31. Investigation 2 - 500 Check Your Answer
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.
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32. Inv. 2 Answer - 500 Back to Game Board
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.
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33. Check Your Answer Investigation 3 - 100
The quadrilaterals below are similar. What is the
scale factor from the small quadrilateral to the large quadrilateral?
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34. Inv. 3 Answer - 100
The scale factor is 5.
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35. Check Your Answer 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
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36. Inv. 3 Answer - 200 Back to Game Board The scale factor is 2. 6/3 = 2
3 cm
6 cm D C G H
9 cm
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37. Check Your Answer 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
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38. Inv. 3 Answer - 300 Back to Game Board 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
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39. Check Your Answer Investigation 3 - 400
What is the measure of angle T?
50° T
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40. Inv. 3 Answer - 400 Back to Game Board T = 40° 90° + 50° = 140°
180° – 140° = 40°
50° T
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41. Check Your Answer 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 Back to Game Board
The area is 4 times larger because it is the (scale factor) = 4 F E A B
3 cm
6 cm D C G H
9 cm
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43. Investigation
Check Your Answer

44. Inv. 4 Answer - 100
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45. Investigation
Check Your Answer

46. Inv. 4 Answer - 200
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47. Investigation
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48. Inv. 4 Answer - 300
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49. Investigation
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50. Inv. 4 Answer - 400
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51. Investigation 4 - 500 Back to Game Board
Find the adjacent side ratios to see which triangles are similar. What about their angles?
6 cm C
12 cm A 6 B
5 cm
4 cm
8 cm
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52. Inv. 4 Answer - 500 Back to Game Board
Triangle
Long Side
Short Side
Ratio A 12 8
12/8 = 1.5 B 6 4
6/4 = 1.5 C 5
6/5 = 1.2
A & B are similar if their corresponding angles are the same measure.
12 cm
6 cm A C 6 B
5 cm
4 cm
8 cm
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