+177 1. If a conditional and its converse are always true, then the statement is a
Converse
Conditional
Biconditional
Counterexample
2. Which choice shows a true conditional with a correctly identified hypothesis and conclusion?
If next month is January, then this month is the last of the year.
Hypothesis: This month is the last of the year.
Conclusion: Next month is January.
Next month is February, so this month is the last month of the year.
Hypothesis: Next month is February.
Conclusion: This month is the last of the year.
Next month is February, so this month is the last month of the year.
Hypothesis: This month is the last of the year.
Conclusion: Next month is February.
If next month is January, then this month is the last of the year.
Hypothesis: Next month is January.
Conclusion: This month is the last of the year.
3. Is the following definition of complementary reversible? If yes, write it as a true Biconditional.
Complementary angles are two angles whose sum measures to 90°.
The statement is not reversible.
Yes, if angles are complementary, then their sum measures to 90°.
Yes, angles are complementary if (and only if) their sum measures to 90°.
Yes, angles are complementary if their sum measures to 90°.
4. Which Biconditional is not a good definition?
An angle is a right angle if and only if its measure is 90°.
An angle is acute if and only if its measure is between 0° and 90°.
Two angles are congruent if and only if their measures are the same.
An angle is obtuse if and only if its measure is greater than 180°.
+129852 I know some of these.......but not all
1. bi-conditional
2. If next month is January, then this month is the last of the year.
Hypothesis: Next month is January.
Conclusion: This month is the last of the year.
3. ???
4. An angle is obtuse if and only if its measure is greater than 180°
[ This is not true ]
+177 5. Name the Property of Congruence that justifies the statement: If AB CD then CD AB. (1 point)
Transitive Property
Symmetric Property
Reflexive Property
None of these
6. Write the converse of the following true conditional statement. If the converse is false, write a counterexample.
If x < 30, then x < 20; true.
If x < 30, then x < 20; false. Counterexample: x = 27 and x > 27.
If x > 20, then x > 30; false. Counterexample: x = 25 and x < 30.
If x > 30, then x > 20; true.
7. Use the Subtraction Property of Equality to complete the following statement.
If RS + ST = RT, then RS =?
ST − RT
RT − ST
RT − RS
RS − RT
8. The true conditional statement, "If (m∠ABC) = m∠ABD, then m∠ABC = 2(m∠ABD)," illustrates which property of equality?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
9. The measure of two vertical angles are 8x – 18 and 6x + 14. Find x.
16
110
32
70
