A triangle with two equal sides and two equal angles.

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Multiple Choice

A triangle with two equal sides and two equal angles.

Explanation:
Two equal sides in a triangle force the angles opposite those sides to be equal. This is the defining feature of an isosceles triangle. So a triangle described as having two equal sides and two equal angles fits this type—the two equal angles are the base angles opposite the equal sides. In contrast, an equilateral triangle would have all three sides and all three angles equal; a right triangle has a 90-degree angle; a scalene triangle has no equal sides or angles.

Two equal sides in a triangle force the angles opposite those sides to be equal. This is the defining feature of an isosceles triangle. So a triangle described as having two equal sides and two equal angles fits this type—the two equal angles are the base angles opposite the equal sides.

In contrast, an equilateral triangle would have all three sides and all three angles equal; a right triangle has a 90-degree angle; a scalene triangle has no equal sides or angles.

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