Term
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Definition
| The sum of the measures of the angles in every triangle is 180 degrees. |
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Term
| Isosceles Triangle Conjecture |
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Definition
| If a triangle is isosceles, then its base angles are congruent. |
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Term
| Converse Isosceles Triangle Conjecture |
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Definition
| If a triangle has two congruent angles, then its an isosceles triangle. |
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Term
| Triangle Inequality Conjecture |
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Definition
| The sum of the lengths of any two sides of a triangle is greater than the length of the third one. |
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Term
| Side-Angle Inequality Conjecture |
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Definition
| In a triangle, if one side is longer than another side, then the angle opposite the longer side is larger. |
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Term
| Triangle Exterior Angle Conjecture |
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Definition
| The measure of an exterior angle of a triangle is equal to the sum of the remote interior angles. |
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Term
| SSS Congruence Conjecture |
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Definition
| If three sides of one angle are congruent to the three sides of another triangle, then the two triangles are congruent. |
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Term
| SAS Congruence Conjecture |
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Definition
| If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. |
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Term
| ASA Congruence Conjecture |
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Definition
| 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. |
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Term
| SAA Congruence Conjecture |
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Definition
| If two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent. |
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Term
| Vertex Angle Bisector Conjecture |
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Definition
| In an isosceles triangle, the bisector of the vertex angle is also the median and the altitude to the base. |
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Term
| Equilateral/Equiangular Triangular Conjecture |
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Definition
| Every equilateral triangle is equiangular, and, conversely, every equiangular triangle is equilateral. |
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