Jenni wrote a conditional statement and its converse.
Conditional: If angles are right angles, then the angles have the same measure.
Converse: If angles have the same measurement, then they are right angles.
Did Jenni write the converse statement properly? Determine if the converse is true or false and give a counterexample if the converse is false.
No; two angles that each measure 45°
Yes; two angles that each measure 90°
Yes; two angles that each measure 41°
No; two angles that each measure 82°
The converse statement is not written properly.
If the statement "If angles have the same measurement, then they are right angles" is true, then any two angles that have the same measurement would need to be right angles.
However, this is not true. A counterexample would be two angles that each measure 41°. They have the same measurement but are not right angles. Therefore, the converse statement is false.