Theorems Flashcards
State the “Two Point” theorem
If 2 points are equidistant to endpoints then they determine the perpindicular bisector
State the “Lies On” Theorem
If a point is equidistant from the endpoinnts of a segment, then it lies on the perpindicular bisector
State pt on a perpindicular bisector theorem
If a point lies on the perpindicular bisector then its equidistant to the endpoints.
What do congruent, adjacent, supplementary angles form ?
perpindicular lines
Postulate: Through a point not on a line there exists exactly __________ (Euclid’s parallel Postulate)
One line parallel to line through point
What is the exterior angle theorem ?
The measure of an exterior angle of a triangle is = to the sum of 2 remote interior angles
What is the Exterior Angle Inequality Theorem ?
The measure of an exterior angle of a triangle is greater than either remote interior angles
If 2 lines are cut by a transversal such that a pair of interior angles on the same side of the transversal are ______, then then ______
supplemental, the lines are parallel
If 2 lines are cut by a transversal such that a pair of _____ angles are on the same side of the transversal are _____, then the lines are ______________
exterior, supplemental, then the lines are parallel
If 2 lines are cut by a transversal such that ______, then the lines are parallel
a pair of alternate interior angles are approximately equal, the lines are parallel
If 2 lines are cut by a transversal such that _______, the lines are parallel
alternate exterior angles are approximately equal, the lines are parallel
If 2 lines are cut by a transversal such that _________, the lines are parallel
a pair of corresponding angles are approximately equal, the lines are parallel
If 2 lines are both ___________ to the same line in a plane, then they are parallel
perpindicular
If w lines are both ________, to the same line, then they are parallel. [Transitive property for parallel lines]
parallel
