An isosceles triangle has two congruent angles.
Here's why:
- Definition: An isosceles triangle is defined as a triangle with two sides of equal length.
- Angle-Side-Angle (ASA) Congruence: The two sides of equal length in an isosceles triangle create two congruent angles opposite those sides. This is due to the Angle-Side-Angle (ASA) congruence theorem, which states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Example:
Imagine an isosceles triangle with sides AB and AC being equal. The angles opposite these sides, ∠B and ∠C, will be congruent.
