2. Pythagorean Theorem Jeopardy VocabThe PT Converse of PT Distance Formula Wrap Up Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

3. $100 Question: What is the side AC called?

4. $100 Answer What is a leg?

5. $200 Question: What is the side AB called?

6. $200 Answer What is the hypotenuse?

7. $300 Question What does the Pythagorean theorem state?

8. $300 Answer It states that if you have a right triangle, the sum of the area of the squares formed by the legs is equal to the area of the square formed by the hypotenuse.

9. $400 Question Write the Pythagorean Theorem Formula!

10. $400 Answer A 2 + B 2 = C 2

11. $500 Question Make a drawing modeling the Pythagorean Theorem.

12. $500 Answer

13. $100 Question: Calculate the length of ZY

14. $100 Answer 26 units

15. $200 Question: Calculate the length of CB. Round to the nearest tenth.

16. $200 Answer 17.7 units

17. $300 Question Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

18. $300 Answer 10 blocks

19. $400 Question The diagonal of a rectangular big- screen TV screen measures 152 cm. The length measures 132 cm. What is the height of the screen? Round to the nearest tenth cm.

20. $400 Answer 75.4 cm

21. $500 Question: Calculate the length of the diagonal AB. Round to the nearest tenth.

22. $500 Answer 7.8 m

23. $100 Question Write “yes” for sides that form right triangles and “no” for sides that do not form right triangles. Prove that each answer is correct. 7, 24, 25

24. $100 Answer Yes 7 2 + 24 2 = 25 2

25. $200 Question Write “yes” for sides that form right triangles and “no” for sides that do not form right triangles. Prove that each answer is correct. 30, 40, 45

26. $200 Answer No 30 2 + 40 2 ≠ 42 2

27. $300 Question Draw a right triangle with whole number side lengths and a hypotenuse of 13 units. The length of the side of each square is one unit.

28. $300 Answer The sides have to be 5 and 12 and the hypotenuse 13.

29. $400 Question A parking lot has four sides. One pair of opposite sides are 100 yards long. The other two sides are 60 yards long. The distance from one end of the longer side to the opposite end of the shorter side is 120 yards. Is the parking lot a rectangle? Answer the questions below to find out. If the distances given form a right triangle, which number is the hypotenuse, and why?

30. $400 Answer 120 yd. It’s the Longest side

31. $500 Question Two sides of a right triangle have the lengths of cm and cm. There are two possible lengths for the third side. (8.G.B.7) (10 points) A. What is the shortest possible length? B.What is the longest possible length?

32. $500 Answer a. 3 cmB.5 cm

33. $100 Question: Write the coordinates of points A, B and C.

34. $100 Answer A (-4, 2) B(4, 6) and C (4, 2)

35. $200 Question: Calculate the length of DE. Leave it as square root.

36. $200 Answer

37. $300 Question Determine if the three points, A(1, 3), B(-2, 4), and C(1, 4), form a right triangle.

38. $300 Answer Yes

39. $400 Question Use the distance formula to find the distance between the two points. (6, -3), (2, -4)

40. $400 Answer

41. $500 Question Find as many points as you can that are 5 units from the origin.

42. $500 Answer (5,0), (4,3), (0,5), (-3, 4) (-4, 3), (-5, 0) (-4, -3), (-3, -4), (0,-5) (3, -4), (4, -3)

43. $100 Question Look at each set of side lengths. Is a triangle with the given side lengths a right triangle? Select Yes or No for A–C. A. 2.8 m, 4.5 m, 5.3 m Yes No B. 15 in., 17 in., 32 in. Yes No C. 21 ft, 28 ft, 35 ft Yes No

44. $100 Answer A.Yes B.No C.Yes

45. $200 Question What is the length between point A(-2, 3) and point B(3, -1)?

46. $200 Answer 6.4 units

47. $300 Question A bald eagle’s nest is located 3.2 miles west and 2.6 miles north of the entrance to a national forest. A biologist plans to hike directly from the forest entrance to the nest. Will the biologist hike more than 5 miles to reach the nest? Explain how you know.

48. $300 Answer No using the Pythagorean Theorem, you can calculate the direct distance to be 4.12 mi

49. $400 Question Keelie has a triangular-shaped card. The lengths of its sides are 4.5 cm, 6 cm, and 7.5 cm. Is the card a right triangle?

50. $400 Answer Yes

51. $500 Question Persevere in Problem Solving One leg of an isosceles right triangle has endpoints (1, 1) and (6, 1). The other leg passes through the point (6, 2). Draw the triangle on the coordinate plane. Then show how you can use the Distance Formula to find the length of the hypotenuse. Round your answer to the nearest tenth.

52. $500 Answer 7.1 units