Theorems
The Angles of a Triangle
In a triangle, the sum of the measures of the interior angles is 180°
The acute angles of a right triangle are complementary
The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles
Isosceles Triangles
If two sides of a triangle are congruent, then the angles opposite these sides are also congruent
If two angles of a triangle are congruent, then the sides opposite these angles are also congruent
The bisector of the vertex angle of an isosceles triangle separates the triangle into two congruent triangles
The Angles of a Triangle
In a triangle, the sum of the measures of the interior angles is 180°
The acute angles of a right triangle are complementary
The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles
Isosceles Triangles
If two sides of a triangle are congruent, then the angles opposite these sides are also congruent
If two angles of a triangle are congruent, then the sides opposite these angles are also congruent
The bisector of the vertex angle of an isosceles triangle separates the triangle into two congruent triangles
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