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Geometry Ch04 Postulates + Theorems

AB
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.
Angle Sum TheoremThe sum of the measures of the angles of a triangle is 180.
Exterior Angle TheoremThe measure of an exterior angle of a trianlge is equal to the sum of the two remote interior angles.
The acute angles of a right triangle are ...complementary.
SSSIf the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.
SASIf 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.
ASAIf 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.
AASIf 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.
Isosceles Triangle TheoremIf two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Converse of Isosceles Triangle TheoremIf two angles of a triangle are congruent, then the sides opposite those angles are congruent.
A triangle is equilateral if and only ifit is equiangular.
Each angle of an equilateral triangle measures ...60 degrees.
HLIf the hypotenuse and a leg of one right triangle is congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.


Guerin Catholic High School
Noblesville, IN

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