Which statement helps prove triangle ABC is equilateral according to the given property?

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Multiple Choice

Which statement helps prove triangle ABC is equilateral according to the given property?

Explanation:
The key idea is how the given property links side equality to angle equality. If all three sides of triangle ABC are equal, then, by this property, all three angles must be equal as well. Having both all sides equal and all angles equal is exactly what defines an equilateral triangle, so this statement provides the needed connection to prove ABC is equilateral. The other ideas aren’t as helpful here: one suggests angles equal would force sides equal, which relies on a different implication; another is false for triangles, and the last is unrelated to equilateral properties.

The key idea is how the given property links side equality to angle equality. If all three sides of triangle ABC are equal, then, by this property, all three angles must be equal as well. Having both all sides equal and all angles equal is exactly what defines an equilateral triangle, so this statement provides the needed connection to prove ABC is equilateral.

The other ideas aren’t as helpful here: one suggests angles equal would force sides equal, which relies on a different implication; another is false for triangles, and the last is unrelated to equilateral properties.

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