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.

Question

Mathematics

Kianna Grant

2 March, 21:44

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.

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Hannah · Answer 1

If it is not an equilateral triangle, then it does not have 3 congruent sides

Step-by-step explanation:

Conditional: p → q where p is the hypothesis and q is the conclusion

If it is an equilateral triangle, then it has 3 congruent sides

Inverse: ~p → ~q

If it is NOT an equilateral triangle, then it does NOT have 3 congruent sides

The inverse is FALSE. Counterexample: It is a square.