What is the converse of this statement:
if two angles are supplementary and congruent, then they are right angles.
statement: if A then B
converse: if B then A
Ah, the converse, huh? Well, the converse of that statement would be: "If two angles are right angles, then they are supplementary and congruent...to being awesome!"
The converse of the statement "if two angles are supplementary and congruent, then they are right angles" would be:
If two angles are right angles, then they are supplementary and congruent.
The converse of the statement is as follows:
If two angles are right angles, then they are supplementary and congruent.
To understand the converse of a statement, we need to swap the hypothesis and conclusion of the original statement. The hypothesis in the original statement is "two angles are supplementary and congruent," and the conclusion is "they are right angles."
When we create the converse, we switch the positions of these two parts. So, the hypothesis in the converse is "two angles are right angles," and the conclusion is "they are supplementary and congruent."