proofs
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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: - PowerPoint PPT PresentationTRANSCRIPT
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:
If an angle has measure of 15 degrees, then the angle is acute.
Is the statement true?
ROUND 2
ROUND 3
ROUND 4
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.
ROUND 5
The following is an illustration of what property?
If a = b and b = c then a = c.
ROUND 6
ROUND 7
Complete the following theorem:
If two angles are supplementary to congruent angles, then the two angles are __________.
ROUND 8
Complete the following theorem:
If the ray BX is the bisector of angle ABC, then the measure of angle ABX is equal to ______________.
ROUND 9
ROUND 10
ROUND 11
Complete the following property, postulate, or theorem:
If two lines are _______________, then they form congruent adjacent angles.
ROUND 12
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.
ROUND 13
ROUND 14
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.
ROUND 15
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.
ROUND 16
