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Glencoe Geometry: Chapter 4 Theorems

AB
Theorem 4-2 Third Angle TheoremIf two angles of one triangle are congruent to two angles of a second triangle, then the third angles of the triangles are congruent.,
Theorem 4-1 Angle Sum TheoremThe sum of the measures of the angles of a triangle is 180.,
Theorem 4-3 Exterior Angle TheoremThe measure of an exterior angle of a trianlge is equal to,
Corollary 4-1The acute angles of a right triangle are complementary.,
Postulate 4-1 SSS(Side - Side - Side) - If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.,
Postulate 4-2 SASSide - Included Angle - Side) - If two sides and the INCLUDED angle of one triangle are congruent to two sides and the INCLUDED angle of another triangle, then the triangles are congruent.,
Postulate 4-3 ASA(Angle - Included Side - Angle) - If two angles and the INCLUDED side of one triangle are congruent to two angles and the INCLUDED side of another triangle, then the triangles are congruent.
Postulate 4-3 AAS(Angle - Angle - Side) - If two angles and a NON-INCLUDED side of one triangle are congruent to the corresponding two angles and side of a second triangle, the two triangles are congruent.
Theorem 4-6 Isosceles Triangle Theorem (ITT)If two sides of a triangle are congruent, then the angles opposite those sides are congruent.,
Theorem 4-7 Converse of the ITTIf two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Corollary 4-3A triangle is equilateral if and only if it is equiangular.
Corollary 4-4Each angle of an equilateral triangle measures 60 degrees.


Charles Learning
Sacramento, CA

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