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# TriangleRelation

### Created for SEED 3702 by Mark

TermDefinition
Isosceles Triangle Theorem If two sides of a triangle are congruent then the two angles opposite those sides are also congruent.
If a triangle is a right triangle then the acute angles are complementary
If two angles are congruent and _______ then each is a right angle. supplementary
Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180
Side-Side-Side Theorem (SSS) If the three sides of a triangle are congruent to the three sides of another triangle then the triangles are congruent.
Side-Angle-Side Postulate If two sides and an included angle of a triangle are congruent to two sides and an included angle of another triangle then the triangles are congruent.
Definition of a Triangle The union of three segments determined by three non-collinear points.
Angle-Angle Postulate (Leads to Isosceles Triangle Theorem) If any two angles of a triangle are congruent to the corresponding angles in another triangle the triangles are congruent.
Angle-Angle-Side Theorem (AAS). If two angles and an excluded side are congruent to the corresponding angles and side of another triangle then the triangles are congruent.
Created by: MarkJonasson