1. Jeopardy
Chapter 2

2. JEOPARDY Conditional Statements Converse/ 100 100 100 100 200 200 200
Counterexample
Biconditonals
&
Definitions
Law of
Detachment
and Syllogism
100
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200
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400
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500

3. Identify the hypothesis and conclusion of this conditional statement:
100
Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.

4. If two lines intersect at right angles, then the two lines are perpendicular.
Jeopardy

5. 200 Write this statement as a conditional:
All triangles have three sides.

6. If a figure is a triangle, then it has three sides.
Jeopardy

7. I drink juice if and only if it is breakfast time
300
Write the two conditional statements that make up the following biconditional.
I drink juice if and only if it is breakfast time

8. If I drink juice, then it is breakfast time
If I drink juice, then it is breakfast time. If it is breakfast time, then I drink juice.
Jeopardy

9. 400
Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the ____ and the part following then is the ____.

10. Conditional; hypothesis; conclusion
Jeopardy

11. 500 Draw a Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.

12. Jeopardy

13. What is the converse of the following conditional?
100
What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.

14. If a points coordinates are positive, then it is in the first quadrant.
Jeopardy

15. If an angle is a right angle, then its measure is 90.
200
What is the converse and the truth value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.

16. If an angles measure is 90, then it is a right angle. True!
Jeopardy

17. 300
One way to show that a statement is NOT a good definition is to find a ____.

18. counterexample
Jeopardy

19. 400
Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample.
If x = 4, then x2 =16.

20. If x2 =16, then x = 4. FALSE!
Jeopardy

21. 500
Write the converse of the given true conditional and decide whether the converse is true or false..
If the probability that an event will occur is 0, then the event is impossible to occur.

22. If an event is impossible, then the probability of the event is 0.
TRUE!
Jeopardy

23. 100
For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.
If x = 3, then x2 = 9.

24. If x2 = 9, then x = 3. False!
Jeopardy

25. 200
Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, give a counterexample.
If two lines are parallel, they do not intersect.
If two lines do not intersect, they are parallel.

26. FALSE! They could be skew!
Jeopardy

27. Two lines that intersect at right angles are perpendicular.
300
Decide whether the following definition of perpendicular is reversible. If it is, state the definition as a true biconditional.
Two lines that intersect at right angles are perpendicular.

28. Two lines intersect at right angles if and only if they are perpendicular.
Jeopardy

29. Is the statement a good definition? If not, find a counterexample.
400
Is the statement a good definition? If not, find a counterexample.
A square is a figure with two pairs of parallel sides and four right angles.

30. No; rectangle
Jeopardy

31. 500
When a conditional and its converse are true, you can combine them as a true ____.

32. biconditional
Jeopardy

33. 100
Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, state not possible. Explain.
Statement 1: If two lines intersect, then they are not parallel.
Statement 2: do not intersect.

34. Not Possible
Jeopardy

35. 200
If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 3, then 3x – 4 = 5.
Statement 2: x = 3

36. 3x-4 = 5
Jeopardy

37. 300
Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.

38. Not Possible Not in “If…, then”
Jeopardy

39. 400
Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures..
Angle P and Angle Q are congruent.

40. Jeopardy

41. 500
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.

42. If a number is a multiple of 64, then it is a multiple of 2.
Jeopardy

43. 100
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.

44. If a number is a multiple of 64, then it is a multiple of 2.
Jeopardy

45. A track for trains, made of metal rails fastened to wooden ties.
200
A track for trains, made of metal rails fastened to wooden ties.

46. What is a railroad?
Jeopardy

47. 300
An open passageway on which people, animals, cars, or other vehicles travel.

48. What is a road?
Jeopardy

49. 400
An enclosure with gates built in a canal or river so that ships can be raised or lowered by changing the water level.

50. What are locks?
Jeopardy

51. DAILY DOUBLE Make your wager!

52. A structure or pier from which ships may load or unload.

53. What is a wharf ?
Jeopardy