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.

In equilateral triangles all sides are equal. The inverse of the statement "An equilateral triangle has three congruent sides" is true.

An equilateral triangle is a triangle whose all sides are of equal length.

Given to us

Statement: An equilateral triangle has three congruent sides.

We know that an equilateral triangle has all three sides, if we look at the statement carefully, the statement can be divided into two parts, a condition, and a conclusion,

Part one is the condition that the triangle must be an equilateral triangle, while part two is a conclusion that if the first condition is true then the sides of the triangles are congruent.

In order to inverse the statement, we need to inverse both the parts conclusion and the condition, therefore, the statement will be,

The inverse of the statement holds true, if a triangle is not an equilateral triangle then the triangle may have two sides congruent but not it is not possible that all the lines are congruent.

Hence, the inverse of the statement "An equilateral triangle has three congruent sides" is true.

Learn more about Equilateral triangle:

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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.

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step-by-step explanation:

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