To what?
The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
The base angles of an isosceles triangle are congruent.
It will be either isosceles or equilateral. It is equilateral if all of the angles are congruent.
Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.
Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.
Well a triangle with two congruent sides would be called a isosceles triangle. It has a vertex, two base angles, two legs, and a base.
The two "base" angles.
No
The base angles are always congruent.
The angle that is not congruent to the base angles of an isosceles triangle is called the "vertex angle." In an isosceles triangle, the vertex angle is formed by the two equal sides, while the base angles are the angles opposite the equal sides.
No, because then it would become an equilateral triangle.
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.