Answer:
An isosceles triangle is defined by having two equal sides and two equal angles formed by those sides.
Explanation:
An isosceles triangle is a type of triangle in which at least two sides are of equal length. This creates two equal angles opposite those equal sides. Here are the attributes that describe an isosceles triangle:
1. **Sides:** In an isosceles triangle, two sides have equal lengths, while the third side may have a different length.
2. **Angles:** The angles opposite the equal sides are congruent (have the same measure). These angles are called the base angles.
3. **Base:** The side with a different length is called the base of the triangle. The base angles are the angles formed by the base and the two equal sides.
4. **Vertex Angle:** The angle formed by the two equal sides is called the vertex angle.
5. **Symmetry:** Isosceles triangles have an axis of symmetry that divides the triangle into two congruent halves.
6. **Height:** The altitude or height of an isosceles triangle is the perpendicular distance from the base to the vertex angle. The height also bisects the base and the vertex angle, forming two right triangles.
Remember that in an isosceles triangle, the sum of the angles always adds up to 180 degrees, just like any other triangle.