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Triangle Congruency

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