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| Formed by three segments joing 3 non-collinear points. |
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| At least 2 congruent sides. |
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| Angles located inside a figure |
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| An angle that forms a linear pair with an interior angle when the sides are extended. |
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| Theorem 4.1 Triangle sum theorem |
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| The sum of the measures of the interior angles of a triangle is 180. |
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| Theorem 4.2 Exterior angle theorem |
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| The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. |
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| Corollary to the triangle sum theorem |
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| The acute angles of a right triangle are complementary. |
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| Theorem 4.3 Third angles theorem |
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| If two angles of one triangle are congruent to two angles of another triangle then the third angles are also congruent. |
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| Theorem 4.4 Properties of congruent triangles |
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| Reflexive, symmetric, and transitive properties, only for triangles. In other words, I'm too lazy to rewrite all of those definitions again. |
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| Side-side-side congruence postulate |
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| If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. |
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| Side-Angle-Side Congruence postulate |
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| If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then tthe two triangles are congruent. |
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| Angle-Side-Angle Congruence Postulate |
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| If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. |
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| Angle-Angle-Side Congruence Theorem |
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| If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. |
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| Hypotenuse-Leg Congruence Theorem |
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| If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. |
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| Corresponding parts of congruent figures are congruent. |
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| Isosceles Triangle Base Angles Theorem |
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| If two sides of a triangle are congruent then the angles opposite of them are congruent. |
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| Isosceles Triangle Base Angles Converse Theorem |
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| If two angles of a triangle are congruent ,then the sides opposite of them are congruent. |
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| Three positive whole numbers that can go into the pythagoream theorem |
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