# Theorem 4

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 Author: Minhs2 ID: 182155 Filename: Theorem 4 Updated: 2012-11-07 00:13:12 Tags: math Folders: Description: thm ch4 Show Answers:

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1. Triangle Sum Theorem
The sum of the angle measures of a triangle is 180.
2. Acute Right Triangle Corollary
The acute angles of a right triangle are complementary.
3. Equalangular Measure Corollary
The measure of each angle of an equiangular triangle is 60.
4. Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
5. Third Angles Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent.
6. Side-Side-Side (SSS) Congruence Postulate
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
7. Side-Angle-Side (SAS) Congruence Postulate
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.
8. Angle-Side-Angle (ASA) Congruence Postulate
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.
9. Angle-Angle-Side (AAS) Congruence Theorem
If two angles and a nonincluded side of one triangle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent.
10. Hypotenuse-Leg (HL) Congruence Theorem
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
11. Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite the sides are congruent.
12. Converse of the Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
13. Equilateral Triangle Corollary
If a triangle is equilateral, then it is equiangular.
14. Equlangular Triange Corollary
If a triangle is equiangular, then it is equilateral.

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