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11 Cards in this Set
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 Back
Third Angle Theorem (theorem 41)

If two angles are congruent to two angles of another triangle, then the third angles are congruent.


SideSideSide (SSS) Postulate (Postulate 41)

If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.


SideAngleSide (SAS) Postulate (Postulate 42)

If two sides and the included angle of one triangle are congruent to two sides and the congruent angle of another triangle, then the two triangles are congruent


AngleSideAngle (ASA) Postulate (postulate 43)

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.


AngleAngleSide (AAS) theorem (theorem 42)

If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of one triangle, then the triangles are congruent


Isosceles triangle theorem (theorem 43)

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.


Converse of the Isosceles triangle theorem (theorem 44)

If two angles of a triangle are congruent, then the sides opposite those angles are congruent


Theorem 45
If a line bisects the vertex angle of an isosceles triangle, then the line is also the what of the base? 
perpendicular bisector
If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base. 

Corollary to the Isosceles triangle Theorem (theorem 43)

If a triangle is equilateral, then the triangle is equiangular


Corollary to the converse of the isosceles triangle theorem (theorem 44)

If a triangle is equiangular, then the triangle is equilateral


HypotenuseLeg (HL) Theorem (Theorem 46)

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent
