Answer:
Jenni wrote the statement properly.
The converse is wrong. A counterexample to the converse is two vertical angles whose measures are 46°, since they have the same measure, but are not right angles.
Explanation:
How to Write a Converse Statement:
- Jenni wrote the converse statement properly.
We can think of the conditional statement as in terms of p and q:
Conditional statement = "if p, then q".
- In this case, "if angles are right angles" is p and "the angles have the same measure is q".
- Since the converse statement is "if q, then p", the converse to Jenni's conditional statement is: if angles have the same measure, then they are right angles.
- In order for a converse to be true, it must always be true and can't have any counterexamples.
Validity of Jenni's Converse Statement:
- However, the converse is false.
- A converse is only true if it's always true--this means it can't have any counterexamples.
- A counterexample to the converse is two vertical angles whose measures are 46°, since vertical angles have the same measure, but our two angles are not right angles.