Introduction To Proofs Question Preview (ID: 47531)


This Quiz Reviews The Basic Properties Used When Solving Proofs. TEACHERS: click here for quick copy question ID numbers.

What property justifies the statement: 'If x - 5 = 8, then x = 13.'
a) Addition Property of Equality
b) Subtraction Property of Equality
c) Multiplication Property of Equality
d) Division Property

What property justifies the statement: 'If 5x = 10, then x = 2.'
a) Addition Property of Equality
b) Subtraction Property of Equality
c) Multiplication Property of Equality
d) Division Property

What property justifies the statement: 'If a = b and b = c, then a = c'?
a) Symmetric Property
b) Reflexive Property
c) Transitive Property
d) Addition Property

Identify the conclusion in the statement: 'If a polygon is a triangle, then it has exactly three sides.'
a) If a polygon is a triangle
b) A polygon is a triangle
c) Then it has exactly three sides
d) It has exactly three sides

Identify the hypothesis in the statement: 'If a polygon is a triangle, then it has exactly three sides.'
a) If a polygon is a triangle
b) A polygon is a triangle
c) Then it has exactly three sides
d) It has exactly three sides

What property justifies the statement: If x + 5 = 9, then x = 4.
a) Symmetric Property
b) Addition Property of Equality
c) Reflexive Property
d) Subtraction Property of Equality

What property justifies the statement: MN = MN.
a) Symmetric Property
b) Addition Property
c) Reflexive Property
d) Transitive Property

Which statement is the biconditional of 'A right angle has a measure of 90 degrees.'
a) If an angle is a right angle, then it has a measure of 90 degrees.
b) If an angle is a right angle, then it does not have a measure of 90 degrees.
c) If an angle is not a right angle, then it does not have a measure of 90 degrees.
d) An angle is a right angle if and only if it has a measure of 90 degrees.

What is the converse of the statement, 'If it is cloudy, then it will rain?'
a) If it is not cloudy, then it will not rain.
b) If it will not rain, then it is not cloudy.
c) If it will rain, then it is cloudy.
d) If it is cloudy, then it will not rain.

What property justifies the conclusion of the statement: If AB = XY, then XY = AB.
a) Symmetric Property
b) Addition Property
c) Reflexive Property
d) Transitive Property

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