Reasoning and Proof Midchapter Quiz 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

What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.

• If an angle does not measure 56 degrees, then it is not an acute angle.
• If an angle is an acute angle, then it measures 56 degrees.
• If an angle is not an acute angle,then the angle does not measure 56 degrees.
• The angle measures 56 degrees.

Which of the following statements is written in biconditional form?

• If you do not vote, then you are not at least 18 years old.

• You can vote if and only if you are 18 years old.

• If you are 18 years old, then you can vote.

• If you can vote, then you are 18 years old.

Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.

• quadrilateral
• rectangle
• rhombus
• square

Finish the conjecture. The product of two odd numbers is ________

• Odd
• Even
• Positive
• Negative

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

What is a counterexample 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.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

True or False. Point R is the midpoint of segment JK

• TRUE

• FALSE

Test the statement. Make a conjecture.

• The sum will always be a negative number

• The sum will always be a positive number

• The sum will always be an even number

• The sum will always be an odd number

Is line AC perpendicular to line BD?

• YES

• NO