Question

Which statement represents the biconditional statement of the conditional statements?

If the measures of two angles have a sum of 90º, then the angles are complements.

If two angles are complements, then their measures have a sum of 90º.


A. The measures of two angles have a sum of 90º if and only if the angles are not complements.
B. The measures of two angles do not have a sum of 90º if and only if the angles are complements.
C. The measures of two angles have a sum of 90º if and only if the angles are complements.
D. The measures of two angles do not have a sum of 90º if and only if the angles are not complements.

Answer 1

A biconditional statement has 2 parts : a conditional statement that states "If hypothesis, then conclusion" and a converse statement which states " If conclusion, then hypothesis" . When both these parts are true, then it is called a biconditional statement.

According to this definition: Option C is correct

C. The measures of two angles have a sum of 90º if and only if the angles are complements.