proofs

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