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.
A ray is a bisector of an angle if and only if it splits the angle into two angles.
All of the given biconditionals are good definitions and none of them are not a good definition.
The biconditional "A ray is a bisector of an angle if and only if it splits the angle into two angles" is not a good definition.
To determine which biconditional is not a good definition, we need to evaluate each statement and check for any inconsistencies or inaccuracies.
The first biconditional states that a whole number is odd if and only if the number is not divisible by 2. This statement is correct and aligns with the definition of an odd number, which means it cannot be divided evenly by 2.
The second biconditional states that an angle is straight if and only if its measure is 180°. This statement is also correct, as a straight angle is defined as having a measurement of exactly 180°.
The third biconditional states that a whole number is even if and only if it is divisible by 2. This statement is consistent with the definition of an even number, which means it can be divided evenly by 2.
The fourth biconditional states that a ray is a bisector of an angle if and only if it splits the angle into two angles. This statement is correct, as a bisector is defined as a line or ray that divides an angle into two equal parts.
Based on the above evaluation, all of the provided biconditionals are accurate and can be considered as good definitions. Therefore, none of the biconditionals is not a good definition.