Which biconditional is NOT a good definition?1) An angle is straight if and only if its measure is 180 ∘ .2) A whole number is even if and only if it is divisible by 2. 3) A whole number is odd if and only if the number is not divisible by 2. 4) A ray is a bisector of an angle if and only if it splits the angle into two angles.

Question

Which biconditional is NOT a good definition?1) An angle is straight if and only if its measure is       180          ∘      .2) A whole number is even if and only if it is divisible by 2. 3) A whole number is odd if and only if the number is not divisible by 2. 4) A ray is a bisector of an angle if and only if it splits the angle into two angles.

Anastasia Lee · Accepted Answer

The correct answer is 4) A ray is a bisector of an angle if and only if it splits the angle into two angles.Find which biconditional is not a good definition.Explanation for correct options:Option (4): A ray is a bisector of an angle if and only if it splits the angle into two angles.Because the bisector divides the angle into two equal parts.Thus, this option (4) is correct.Explanation for incorrect option:Option (1): An angle is straight if and only if its measure is       180          ∘      .Since a straight angle is a       180          ∘       angle.Thus, this answer is incorrect.Option (2): A whole number is even if and only if it is divisible by 2.All even numbers are multiples of 2, thus, all even numbers are divisible by 2.Therefore, this option is incorrect.Option (3): A whole number is odd if and only if the number is not divisible by 2.Odd numbers are those that are not multiples of two. So all odd numbers are not divisible by 2.Thus, this option is incorrect.Therefore, option (4) is the correct answer.

Which biconditional is NOT a good definition?

Answered question

Answer & Explanation

New Questions in High school geometry