Reasoning & Proof Review

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

• You will pass your test
• You do your homework
• If you do your homework you will pass your test
• You fail your test

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

What is the missing statement in the proof?

• m∠ABD+m∠DBC=m∠ABC
• m∠ABD=m∠DBC
• m∠ABC=m∠ABC
• none of the other choices are correct

Which reason justifies the statement below?

AB + CD = CD + EF, then AB = EF.

• Addition Property

• Subtraction Property

• Reflexive Property

• Substitution Property

Write the conditional statement as a biconditional statement: If two lines intersect at a 90 degree angle, then those two lines are perpendicular.

• Two lines intersect at a 90 degree angle if and only if they are perpendicular.

• If two lines do not intersect at a 90 degree angle, then the two lines are not perpendicular.

• If two lines intersect at a 90 degree angle if and only if then they are perpendicular.

• If two lines are perpendicular, then they intersect at a 90 degree angle.

• Transitive Property of Equality

• Definition of Supplementary Angles

• Reflexive Property 

• Symmetric Property 

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If a polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• A rectangle is also a quadrilateral.