Question

If two angles are vertical, then they are congruent.

Write the converse of the conditional statement and determine whether it is true or false.

Answer 1

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

Answer 2

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