In an isosceles triangle with two equal sides, which angles are congruent?

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Multiple Choice

In an isosceles triangle with two equal sides, which angles are congruent?

Explanation:
When two sides are equal, the angles opposite those sides are equal. In an isosceles triangle, that means the two angles at the ends of the base are congruent—the base angles. The angle between the two equal sides is the vertex angle and isn’t required to match the base angles. Only in an equilateral triangle (all sides equal) would all three angles be congruent. So the congruent angles are the base angles.

When two sides are equal, the angles opposite those sides are equal. In an isosceles triangle, that means the two angles at the ends of the base are congruent—the base angles. The angle between the two equal sides is the vertex angle and isn’t required to match the base angles. Only in an equilateral triangle (all sides equal) would all three angles be congruent. So the congruent angles are the base angles.

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