Term
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Definition
| if two angles are a linear pair, then they are supplementary |
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Term
| vertical angle conjecture |
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Definition
| if two angles are vertical, they are congruent |
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Term
| corresponding angle conjecture |
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Definition
| if two parallel lines are cut by a transversal, then the corresponding angles are congruent |
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Term
| alternate interior angle conjecture |
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Definition
| if two parallel lines are cut by a transversal, then the alternate interior angles are congruent |
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Term
| alternate exterior angle conjecture |
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Definition
| if two parallel lines are cut by a transversal, then the alternate exterior angles are congruent |
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Term
| converse of corresponding angle conjecture |
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Definition
| if corresponding angles are congruent when two lines are cut by a transversal, then the lines are parallel |
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Term
| parallel slope conjecture |
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Definition
| in a coordinate plane, two distinct lines are parallel if and only if the slopes are the same |
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Term
| perpendicular slope conjecture |
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Definition
| in a coordinate plane, two lines are perpendicular if and only if the slopes are opposites and reciprical |
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Term
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Definition
| the sum of all the angles in a triangle is 180 |
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Term
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Definition
| if two angles of one triangle are congruent to two angles of another triangle, then the triangles' third angle is congruent |
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Term
| isosceles triangle conjecture |
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Definition
| if a triangle is isosceles, then the base angles are congruent |
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Term
| converse of isosceles triangle conjecture |
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Definition
| if a triangle has two congruent angles, then the triangle is isosceles |
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Term
| side-angle inequality conjecture |
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Definition
| in a triangle, the longest side is oppoiste the angle with the biggest measure, and the shortest side is opposite the smallest measure |
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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 are greater than the lengths of the opposite side |
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Term
| triangle exterior 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
| vertex angle bisector conjecture |
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Definition
| in an isosceles triangle, the bisector of the vertex angle is also the median to the base and the altitude to the base |
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Term
| quadrilateral sum conjecture |
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Definition
| the sum of all the angles in a quadrilateral is 360 |
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Term
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Definition
| the sum of all the angles in an n-gon is 180(n-2) |
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Term
| equiangular polygon conjecture |
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Definition
| the measure of one angle in any equiangular polygon can be found with 180(n-2) divided by 2 |
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Term
| polygon exterior angle conjecture |
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Definition
| the sum of the exterior angles in any polygon is 360 |
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Term
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Definition
| the diagonals of a kite are perpendicular |
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Term
| kite diagonal bisector conjecture |
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Definition
| the diagonal connecting the vertex angles bisects the non-vertex angle bisector |
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Term
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Definition
| the non-vertex angles of a kite are congruent |
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Term
| kite angle bisector conjecture |
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Definition
| the vertex angles of a kite are bisected by the vertex diagonal |
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Term
| trapezoid consecutive angle conjecture |
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Definition
| consecutive angles between bases are supplementary |
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Term
| isosceles trapezoid conjecture |
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Definition
| the base angles in an isosceles trapezoid are congruent |
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Term
| isosceles trapezoid diagonal conjecture |
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Definition
| the diagonals in an isosceles trapezoid are congruent |
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