Question

consider the conditional statement. if the radius of a circle is 5, then the diameter is 10. what is the conditional statement written as a biconditional? the radius of a circle is 5 if and only if the diameter is 10. the radius of a circle is 10 if and only if the diameter is 5. the radius of a circle is 15 if and only if the diameter is 5. the radius of a circle is 5 if and only if the diameter is 5.

Explanation:

A biconditional statement combines a conditional statement and its converse. The original conditional is "If radius = 5, then diameter = 10". The correct biconditional is formed by saying "The radius of a circle is 5 if and only if the diameter is 10" as the relationship between radius and diameter (diameter = 2*radius) holds in both directions for this case.

Answer:

The radius of a circle is 5 if and only if the diameter is 10.