Proofs Flashcards
What is the Reflexive Property of Equality?
For any quantity, it states that any geometric object is equal to itself.
What is the Symmetric Property of Equality?
If one quantity equals another, then the second quantity equals the first.
What is the Transitive Property of Equality?
If one quantity equals a second, and the second equals a third, then the first equals the third.
State the Segment Addition Postulate.
If point B is between points A and C, then AB + BC = AC.
State the Angle Addition Postulate.
If point D lies in the interior of angle ABC, then angle ABD + angle DBC = angle ABC.
What is the definition of congruent segments?
Two segments are congruent if and only if they have the same length.
What is the definition of congruent angles?
Two angles are congruent if and only if they have the same measure.
What is the Parallel Postulate?
Through a point not on a line, exactly one line can be drawn parallel to the given line.
What is the Perpendicular Postulate?
Through a point not on a line, exactly one line can be drawn perpendicular to the given line.
State the Vertical Angles Theorem.
Vertical angles are always congruent.
