Which biconditional is not a good definition?
(1 point)
Responses
A whole number is odd if and only if the number is not divisible by 2.
A whole number is odd if and only if the number is not divisible by 2.
An angle is straight if and only if its measure is 180°.
An angle is straight if and only if its measure is 180°.
A whole number is even if and only if it is divisible by 2.
A whole number is even if and only if it is divisible by 2.
A ray is a bisector of an angle if and only if it splits the angle into two angles.
Name the Property of Equality that justifies the statement:
If RS = ST and ST = TU, then RS = TU
(1 point)
Responses
Reflexive Property
Reflexive Property
Symmetric Property
Symmetric Property
Transitive Property
Transitive Property
Addition Property
The correct answer is: Transitive Property
The correct answer is: A ray is a bisector of an angle if and only if it splits the angle into two angles.
If a conditional and its converse are always true, then the statement is a
(1 point)
Responses
converse.
converse.
conditional.
conditional.
biconditional.
biconditional.
counterexample.
The correct answer is: biconditional.
Which shows a true conditional with a correctly identified hypothesis and conclusion?
(1 point)
Responses
If it is raining, then the humidity level is 100% .
Hypothesis: The humidity level is 100%.
Conclusion: It is raining.
If it is raining, then the humidity level is 100% . Hypothesis: The humidity level is 100%. Conclusion: It is raining.
I hate humidity, except when it rains.
Hypothesis: I hate humidity.
Conclusion: It rains.
I hate humidity, except when it rains. Hypothesis: I hate humidity. Conclusion: It rains.
I hate humidity, except when it rains.
Hypothesis: It rains.
Conclusion: I hate humidity.
I hate humidity, except when it rains. Hypothesis: It rains. Conclusion: I hate humidity.
If it is raining, then the humidity level is 100%.
Hypothesis: It is raining.
Conclusion: The humidity level is 100%.
The correct answer is: If it is raining, then the humidity level is 100%.
Hypothesis: It is raining.
Conclusion: The humidity level is 100%.
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°.
(1 point)
Responses
The statement is not reversible.
The statement is not reversible.
Yes, if angles are complementary, then their sum measures to 90°.
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 (and only if) their sum measures to 90°.
Yes, angles are complementary if their sum measures to 90°.
The correct answer is: Yes, angles are complementary if (and only if) their sum measures to 90°.
Name the Property of Congruence that justifies the statement: If AB is congruent to CD then CD is congruent to AB.
(1 point)
Responses
Transitive Property
Transitive Property
Symmetric Property
Symmetric Property
Reflexive Property
Reflexive Property
none of these