1. Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300
Ratios/Proportions
Midsegment
Proportionality
Similar Polygons
Similar Triangles
Misc.
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Final Jeopardy

2. $100 Question from “Ratios/Proportions”
(2x+5)/10 = 42 / 20
Find x

3. $100 Answer from “Ratios/Proportions”
X=8

4. $200 Question from “Ratios/Proportions”
Out of a survey of 1000 households, 460 had at least one dog or cat as a pet. What is the ratio of pet owners to households?

5. $200 Answer from “Ratios/Proportions”
23:50

6. $300 Question from “Ratios/Proportions”
The ratio of the measures of three sides of a triangle is 2:5:4, and its perimeter is 165 units. Find the measure of each side of the triangle.

7. $300 Answer from “Ratios/Proportions”
The triangle is 30 units by 75 units by 60 units.

8. $400 Question from “Ratios/Proportions”
According to a recent study, 6 out of every 500 Americans aged 15 to 17 have a job. In a group of to 17 year olds, about how many would you expect to have a job?

9. $400 Answer from “Ratios/Proportions”
6/500 = x / 850
x = 10.2
About 10 teens

10. $500 Question from “Ratios/Proportions”
Jane jogs the same path every day in the winter to stay in shape for track season. She runs at a constant rate and she spends a total of 39 minutes jogging. If the ratio of times of the four legs of the jog is 3:5:1:4, how long does the second leg of the jog take her?

11. $500 Answer from “Ratios/Proportions”
3x + 5x + x + 4x = 39
13x = 39
x = 3
5(3) = 15 minutes

12. $100 Question from“Midsegment/Proportionality”
Find x

13. $100 Answer from “Midsegment/Proportionality”
x = 7.5

14. $200 Question from “Midsegment/Proportionality”
Find x

15. $200 Answer from “Midsegment/Proportionality”
X = 44/13

16. $300 Question from “Midsegment/Proportionality”
JH is a midsegment of the given triangle. Determine x.

17. $300 Answer from “Midsegment/Proportionality”
X=7

18. $400 Question from “Midsegment/Proportionality”
What does the midsegment theorem state?

19. $400 Answer from “Midsegment/Proportionality”
Midsegments are half as long as one side of a triangle.
Midsegments are parallel to one side of a triangle

20. $500 Question from “Midsegment/Proportionality”
Billy claims that in order to solve for x for the triangles below, he must solve the following proportion: Is he correct?
Why or why not?

21. $500 Answer from “Midsegment/Proportionality”
He is incorrect because we are not told that the triangles are similar. We don’t have parallel lines so we can not solve for x without more information.

22. $100 Question from “Similar Polygons”
List all pairs of congruent angles and write a proportion that relates the corresponding sides for each pair of similar polygons

23. $100 Answer from “Similar Polygons”

24. $200 Question from “Similar Polygons”
Are the following figures similar? If so write a similarity statement and scale factor (left to right). If not, explain why.

25. $200 Answer from “Similar Polygons”
They are not similar because the angles are not congruent!

26. $300 Question from “Similar Polygons”
The given polygons are similar. Find x.

27. $300 Answer from “Similar Polygons”
14/10 = (x+9)/(x+6)
X = 3/2 or 1.5

28. $400 Question from “Similar Polygons”
The given polygons are similar. Find x.

29. $400 Answer from “Similar Polygons”
5/9 = (10/3) / (x+1)
x = 5

30. $500 Question from “Similar Polygons”

31. $500 Answer from “Similar Polygons”
Scale factor: 5/7
Perimeter ABCDE: 65
Perimeter PQRST: 91

32. $100 Question from “Similar Triangles”
Are the given triangles similar? Why or why not?

33. $100 Answer from “Similar Triangles”
Yes, by SSS similiarity
8/ 12 = 6/ 9

34. $200 Question from “Similar Triangles”
Are the following triangles similar? Why or why not?

35. $200 Answer from “Similar Triangles”
Yes by AA similarity

36. $300 Question from “Similar Triangles”
Is the following similar triangles? Why or why not?

37. $300 Answer from “Similar Triangles”
NOPE– we do not have SAS similarity because the angle is not the included angle!

38. $400 Question from “Similar Triangles”
Find NL
and ML

39. $400 Answer from “Similar Triangles”
NL = 21
ML = 14

40. $500 Question from “Similar Triangles”
A lighthouse casts a 128-foot shadow. A nearby lamppost that measures 5 feet 3 inches casts an 8 foot shadow.
What is the height of the lighthouse?

41. $500 Answer from “Similar Triangles”
84 feet or 1008 inches

42. $100 Question from “Misc.”
Find x

43. $100 Answer from “Misc.”
X = 12

44. $200 Question from “Misc.”
Find x

45. $200 Answer from “Misc.”
X = 42/5

46. $300 Question from “Misc.”
The given triangles are similar. Find x.

47. $300 Answer from “Misc.”
X = 5

48. $400 Question from “Misc.”
An electronics company manufactures widescreen television sets in several different sizes. The rectangular viewing area of each television size is similar to the viewing areas of the other sizes. The company’s 42- inch widescreen television has a viewing area perimeter of approximately inches. What is the viewing area perimeter of the company’s 46-inch widescreen television?

49. $400 Answer from “Misc.”
About inches

50. $500 Question from “Misc.”
Find x

51. $500 Answer from “Misc.”
X = 84/5