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11 Cards in this Set
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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
