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11 Cards in this Set

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Third Angle Theorem (theorem 4-1)
If two angles are congruent to two angles of another triangle, then the third angles are congruent.
Side-Side-Side (SSS) Postulate (Postulate 4-1)
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
Side-Angle-Side (SAS) Postulate (Postulate 4-2)
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
Angle-Side-Angle (ASA) Postulate (postulate 4-3)
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.
Angle-Angle-Side (AAS) theorem (theorem 4-2)
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of one triangle, then the triangles are congruent
Isosceles triangle theorem (theorem 4-3)
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Converse of the Isosceles triangle theorem (theorem 4-4)
If two angles of a triangle are congruent, then the sides opposite those angles are congruent
Theorem 4-5

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 4-3)
If a triangle is equilateral, then the triangle is equiangular
Corollary to the converse of the isosceles triangle theorem (theorem 4-4)
If a triangle is equiangular, then the triangle is equilateral
Hypotenuse-Leg (HL) Theorem (Theorem 4-6)
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