Equilateral triangle statement:

Equilateral triangle statement:

• A. Three sides same length, three angles equal measure.
• B. Two sides equal, two angles equal.
• C. All sides equal but angles not equal.
• D. One angle 90 degrees.

Answer: (A)

An equilateral triangle has all three sides equal in length, and because of that symmetry, all three interior angles are equal as well. Since the angles in any triangle add up to 180 degrees, each angle in an equilateral triangle measures 60 degrees. So the statement that describes three sides the same length and three angles with equal measure matches exactly what an equilateral triangle is. The other ideas describe a triangle that isn’t equilateral: two sides equal is isosceles, or having a 90-degree angle would conflict with having all sides equal.

An equilateral triangle has all three sides equal in length, and because of that symmetry, all three interior angles are equal as well. Since the angles in any triangle add up to 180 degrees, each angle in an equilateral triangle measures 60 degrees. So the statement that describes three sides the same length and three angles with equal measure matches exactly what an equilateral triangle is. The other ideas describe a triangle that isn’t equilateral: two sides equal is isosceles, or having a 90-degree angle would conflict with having all sides equal.