Question

4 fill in the blank 3 points write the converse of the write
o biconditional\. conditional statement: if an acute - angle and an obtuse angle are not congruent. two angles have the same measure if and only if they are congruent. converse: if two angles are, then they are congruent. is the converse true or false? if true, combine the statements as a biconditional. if false, write
o biconditional\. biconditional statement: choose your answer... choose your answer... a ray is an angle bisector if and only if it creates two congruent angles.

Explanation:

Step1: Recall the concept of converse

The converse of a conditional statement "If p, then q" is "If q, then p". The given conditional statement is "If two angles are congruent, then they have the same measure". So the converse is "If two angles have the same measure, then they are congruent".

Step2: Determine truth - value of the converse

By the definition of congruent angles (angles are congruent if and only if they have the same measure), the converse is true.

Step3: Form the biconditional statement

Since the conditional and its converse are true, the biconditional statement is "Two angles are congruent if and only if they have the same measure".

Answer:

Converse: If two angles have the same measure, then they are congruent.
Is the converse true or false: True
Biconditional Statement: Two angles are congruent if and only if they have the same measure.