This conditional statement is true...
If two angles are right angles, then they are congruent.
The converse is ...If they are congruent, then the angles are right angles
This would be false because not all congruent angles are right angles
Is this correct
Yes, your statement is correct. The converse of the conditional statement "If two angles are right angles, then they are congruent" is "If they are congruent, then the angles are right angles." However, the converse is false because not all congruent angles are right angles.
Yes, you are correct. The converse of a conditional statement is formed by switching the hypothesis and conclusion of the original statement. In this case, the original statement is "If two angles are right angles, then they are congruent." The converse, as you mentioned, is "If they are congruent, then the angles are right angles."
However, the converse is not always true. Just because two angles are congruent, it does not necessarily mean that they are right angles. There are many different types of angles that can be congruent, such as acute angles, obtuse angles, or even straight angles. Therefore, the converse statement is false.
It's important to remember that the truth of a conditional statement does not automatically guarantee the truth of its converse. To determine the validity of the converse, we need to examine each statement separately and consider specific examples or counterexamples.