OpenStudy (anonymous):

If two angles are vertical, then they are congruent. Write the converse of the conditional statement and determine whether it is true or false.

OpenStudy (directrix):

If two angles are vertical, then they are congruent is a theorem and is true. p: two angles are vertical q: the two angles are congruent So, the theorem is represented as p --> q

OpenStudy (directrix):

The converse of p--> q is the following: q-->p. That translates to: If two angles are congruent, then the angles are vertical angles as the converse. I leave it to you to determine if you can think up two angles that are congruent but *not* vertical. If you can, then then converse is false. If you cannot, then the converse is true. @donya_dabdoub