Question

Write the inverse of the conditional statement. Determine whether the inverse is true or false. If it is false, find a counterexample.

An equilateral triangle has three congruent sides.


a.
A non-equilateral triangle has three congruent sides. False; an isosceles triangle has two congruent sides.

b. A figure that has three non-congruent sides is not an equilateral triangle. True.

c. A non-equilateral triangle does not have three congruent sides. True.

d. A figure with three congruent sides is an equilateral triangle. True.