In an isosceles triangle, which angles are congruent?

Study for the Honors Mathematics 3 Exam. Engage with comprehensive flashcards and multiple choice questions, each with detailed explanations. Prepare and excel in your exam journey!

Multiple Choice

In an isosceles triangle, which angles are congruent?

Explanation:
Two equal sides in an isosceles triangle imply the angles opposite those sides are equal. Those two equal angles are the base angles—the angles at the ends of the base. The angle between the two equal sides is the vertex angle, and it isn’t generally equal to the base angles. Only in the special case where all three sides are equal would every angle be equal. So, the base angles are congruent.

Two equal sides in an isosceles triangle imply the angles opposite those sides are equal. Those two equal angles are the base angles—the angles at the ends of the base. The angle between the two equal sides is the vertex angle, and it isn’t generally equal to the base angles. Only in the special case where all three sides are equal would every angle be equal. So, the base angles are congruent.

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