The Vertex Angle is the angle opposite to the base.
Theorems
Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite them are congruent.
(ex. If line BU is congruent to line GU, then angle G is congruent to angle B.)
Converse of Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite them are congruent.
(ex. Is angle G is congruent to angle B, then line BU is congruent to line GU)
Corollaries
A triangle is equilateral, if and only if it is equiangular.
Angles of equilateral and equiangular triangles = 60 degrees.
Isosceles Triangle TheoremIf two sides of a triangle are congruent, then the angles opposite them are congruent.
(ex. If line BU is congruent to line GU, then angle G is congruent to angle B.)
Converse of Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite them are congruent.
(ex. Is angle G is congruent to angle B, then line BU is congruent to line GU)
Corollaries
A triangle is equilateral, if and only if it is equiangular.
Angles of equilateral and equiangular triangles = 60 degrees.
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