Shared Flashcard Set

Details

*PROOF* & my troubles appear!!
proofs that i've "learned" thus far in GEOMETRY!!!
18
Mathematics
Not Applicable
11/03/2005

Additional Mathematics Flashcards

 


 

Cards

Term
Congruent Supplements Theorem
Definition
If 2 angles are supplementary to the same angle or to congruent angles, then they are congruent to each other.
Term
Vertical Angles Theorem
Definition
Vertical angles are congruent.
Term
Right Angle Congruence Theorem
Definition
All right angles are congruent.
Term
Angle Addition Property
Definition
If a = b, then a + c = b + c
Term
Linear Pair Postulate
Definition
If two angles form a linear pair, then they are supplementary.
Term
Perpenicular Postulate
Definition
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.
Term
Parallel Postulate
Definition
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.
Term
Theorem 3.1
Definition
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Term
Theorem 3.2
Definition
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. and the overall angle is a right angle.
Term
Theorem 3.3
Definition
If two lines are perpendicular, then they intersect to form four right angles.
Term
Definition of Vertical Angles
Definition
Two angles whose sides form two pairs of opposite rays.
Term
Definition of Right Angles
Definition
An angle with a measure of 90 degrees
Term
Alternate Interior Angles Theorem

(basically same for consecutive. corresponding...etc)
Definition
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Term
Perpendicular Transversal
Definition
If a transversal is perpendicular to oneof two parallel lines, then it is perpendicular to the other.
Term
Alternate Interior Angles CONVERSE
Definition
If two lines are cut by a transversal so that the alternate interior angles are congruent, then the two lines are parallel.
Term
Theorem 3.11
Definition
If two lines are parallel to the same line, they are parallel to each other.
Term
Theorem 3.12
Definition
In a plane, if two lines are perpendicular to the same line, then the two lines are PARALLEL to each other.
Term
Slopes of Perpendicular Lines Postulate
Definition
In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Vertical and horizontal lines are perpendicular.
Supporting users have an ad free experience!