Jenni wrote a conditional statement and its converse.

Question

Jenni wrote a conditional statement and its converse.

Conditional: If each angle of a triangle measures 60°, then the sum of the measures of all the angles is 180°.

Converse: If the sum of all the angles inside of a triangle is 180°, then each angle measures 60°.

Did Jenni write the converse statement properly? Determine if the converse is true or false and give a counterexample if the converse is false.

1. No; an isosceles triangle
2. No; a scalene triangle
3. Yes; an equilateral triangle
4. Yes; a scalene triangle

Answer 1

False.

A scalene triangle is the best counter-example.