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.

Question

Mathematics

Emiliano

13 June, 03:30

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.

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Answers (1)

Know the Answer?

Shayla Ferrell · 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.