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PROOFS

PROOFS. The Game Show!. ROUND 1. Identify the hypothesis and conclusion of the following statement: If an angle has measure of 15 degrees, then the angle is acute. Is the statement true? Write the converse of the following statement:

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PROOFS

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  1. PROOFS The Game Show!

  2. ROUND 1

  3. Identify the hypothesis and conclusion of the following statement: If an angle has measure of 15 degrees, then the angle is acute. Is the statement true? Write the converse of the following statement: If an angle has measure of 15 degrees, then the angle is acute. Is the statement true?

  4. ROUND 2

  5. ROUND 3

  6. ROUND 4

  7. Define a counterexample to prove the following statement false: If you were born in an odd-numbered month, then you were born in a month with 31 days. Combine the following conditionals into one biconditional: If a figure has four right angles, then it is a rectangle. If a figure is a rectangle, then is has four right angles.

  8. ROUND 5

  9. The following is an illustration of what property? If a = b and b = c then a = c.

  10. ROUND 6

  11. ROUND 7

  12. Complete the following theorem: If two angles are supplementary to congruent angles, then the two angles are __________.

  13. ROUND 8

  14. Complete the following theorem: If the ray BX is the bisector of angle ABC, then the measure of angle ABX is equal to ______________.

  15. ROUND 9

  16. ROUND 10

  17. ROUND 11

  18. Complete the following property, postulate, or theorem: If two lines are _______________, then they form congruent adjacent angles.

  19. ROUND 12

  20. The following is an example of what postulate? If the point B lies in the interior of angle AOC, then angle AOB + angle BOC = angle AOC.

  21. ROUND 13

  22. ROUND 14

  23. Identify the hypothesis and conclusion of the following statement: If the Eagles win the Super Bowl, then Philadelphia will have a parade. Write the converse of the following statement: If Jack plays baseball in the spring, then he will not play soccer.

  24. ROUND 15

  25. Identify the hypothesis and conclusion of the following statement: If B is between A and C, then AB + BC = AC. Write the converse of the following statement: If 5y = 15, then y = 3. Define a counterexample to prove the following statement false: If a number is odd, then it is a prime number. Combine the following conditionals into one biconditional: If ABC = 180 degrees, then ABC is a straight angle. If ABC is a straight angle, then ABC = 180 degrees.

  26. ROUND 16

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