Mathematics College

If a conditional statement and its converse are both true, the statement is said to be biconditional. Which of this statements is biconditional? Explain.
a) If two angles are congruent, then they have the same measure.
b) If two angles are straight angles, then they are congruent.

Answers

Answer 1

The correct option is (a) "If two angles are congruent, then they have the same measure".If a conditional statement and its converse are both true, the statement is said to be biconditional. The biconditional statement is one that can be written in the form “p if and only if q” which means that it is only true when both p and q are true.

The biconditional statement of the given options is "If two angles are congruent, then they have the same measure".

Option a) If two angles are congruent, then they have the same measure is a biconditional statement. This statement is a biconditional because it is true for both its converse and inverse.

If two angles are congruent, they have the same measure and if two angles have the same measure, they are congruent. This statement is true in both directions.

It can be written as:Two angles are congruent if and only if they have the same measure.Therefore, the correct option is (a) "If two angles are congruent, then they have the same measure".

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