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# Triangle Congruency

Polygons with congruent corresponding parts (angles and sides) Congruent Polygons
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. Third Angle Theorem
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. SSS triangle congruence theorem
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. SAS triangle congruence theorem
If two angles and the included side of one triangle are congruent to two angles and the included sides of another triangle, then the two triangles are congruent. ASA triangle congruence theorem
If two angles and the nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent. AAS triangle congruence theorem
corresponding parts of congruent triangles are congruent CPCTC
the congruent sides of an isosceles triangle legs of an isosceles triangle
The non-congruent side of an isosceles triangle base of an isosceles triangle
the angle formed by the two congruent sides of an isosceles triangle Vertex Angle of an isoscels triangle
The congruent angles adjacent to the base of an isosceles triangle. Base Angles of an isosceles triangle
If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite the angles are congruent. Converse of Isosceles Triangle Theorem
The bisector of the vertex angles of an isosceles triangle is the perpendicular bisector of the base. Theorem: bisector of a vertex angle
is a statement that follows immediately from a theorem. Corollary
The angles of an equilateral triangle are all 60 degrees. Theorem: Equilateral triangles
The longest side of a right triangle. Hypotenuse of a triangle
The two sides of the right triangle other than the hypotenuse. These sides form the right angle. Legs of a triangle
Two triangles congruent with congruent legs and hypotenuse. HL triangle congruence theorem
A triangle with no congruent sides Scalene triangle
A triangle with 2 congruent sides Isosceles Triangle
A triangle with THREE congruent sides Equilateral triangle
A triangle with 3 acute angles Acute triangle
A triangle with ONE obtuse angle Obtuse triangle
A triangle with ONE right angle Right triangle
A triangle with 3 congruent angles (all are 60 degrees) Equiangular triangle
a line that is perpendicular to a segment and goes through its midpoint(bisects the segment) Perpendicular bisector
Created by: bwheat