Isosceles Triangles Flashcards
Definition of an Isosceles Triangle
A triangle with two congruent sides
The two congruent sides of an Isosceles triangle are called…
legs
The one non-congruent side of an isosceles triangle is called the…
base
The two legs of an isosceles triangle form the…
vertex angle
The two angles formed by the base and a leg are called the…
base angles
Isosceles Triangle Theorem
If two sides of a triangle are congruent, then their opposite angles are congruent
if sides, then angles
Converse of the Isosceles triangle theorem
If two angles of a triangle are congruent, then their opposite sides are congruent
If angles, then sides
Theorem about bisecting (no name)
If a line bisects the vertex angle of an isosceles triangle, then that line is also the perpendicular bisector of the base.
Converse of Theorem about bisecting (no name)
If a line is the perpendicular bisector of the base of an isosceles triangle, then that line also bisects the vertex angle.
Corollary to Isosceles Triangle Theorem
If a triangle is equilateral, then it is equiangular
Corollary to converse of the Isosceles triangle Theorem
If a triangle is equiangular, then it is equilateral
Obtuse Isosceles Triangle
The vertex angle of the isosceles triangle is obtuse