1. A statement that can be expressed in if-then form is a
a.converse
b.conditional
c.biconditional
d.counterexample
2. Which shows a true conditional with a correctly identified hypothesis and conclusion?
a.If it is raining, then the humidity level is 100%. Hypothesis: The humidity level is 100%. Conclusion: It is raining.
b.I hate humidity, except when it rains. Hypothesis: I hate humidity. Conclusion: It rains.
c.I hate humidity, except when it rains. Hypothesis: It rains. Conclusion: I hate humidity.
d.If it is raining, then the humidity level is 100%. Hypothesis: It is raining. Conclusion: The humidity level is 100%.
3. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
a.The statement is not reversible
b.Yes; if two lines intersect at right angles, then they are perpendicular.
c.Yes; if two lines are perpendicular, then they intersect at right angles.
d.Yes; two lines intersect at right angles if (and only if) they are perpendicular.
4. Which biconditional is not a good definition?
a.An angle is a right angle if and only if its measure is 90
b.An angle is acute if and only if its measure is between 0 and 90
c.Two angle are congruent if and only if their measures are the same
d.An angle is obtuse if and only if its measure is greater than 180
5.Name the property of equality that justifies the statement:
If m∠A+m∠B=m∠C, then m∠A=m∠C-m∠B
a.Transitive Property
b.Symmetric Property
c.Reflexive Property
d.Subtraction Property
6. Write the converse of the following true conditional statement. If the converse is false, write a counterexample.
If a<10, then a<15
a.If a>10, then a>15; false. Counterexample: a=12 and a<15
b.If a<15, then a<10; false. Counterexample: a=12 and a>10
c.If a<15, then a<10;true
d.If a≥15, then a≥10; true
7. Use the subtraction property of equality to complete the following statement.
If RS + ST = RT, then RS = ?
a.ST-RT
b.RT-ST
c.RT-RS
d.RS-RT
8. The true conditional statement, "If 1/2(m∠ABC) = m∠ABD, then m∠ABC = 2(m∠ABD)," illustrates which property of equality?
a. Addition Property of Equality
b.Subtraction Property of Equality
c.Multiplication Property of Equality
d.Division Property of Equality
9. The measure of two vertical angles are 8x-18 and 6x+14. Find x.
a.16
b.110
c.32
d.70
10. Name the Property of Equality that justifies the statement: Line segment RS≅Line segment RS
a. Reflexive Property
b. Symmetric Property
c. Transitive Property
d. Substitution Property
