# Shared Flashcard Set

## Details

Geometry Conjectures
N/A
27
Mathematics
10/26/2011

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