Math-Logic and Proofs Unit-Postulates of Geometry, Arithmetic, and Equality Flashcards
LIne Postulate
You can construct exactly one line through any two points; two points determine a line
Line Intersection Postulate
The intersection of two distinct lines is exactly one point
Segment Duplication Postulate
You can construct a segment congruent to another segment
Angle Duplication Postulate
You can construct an angle congruent to another angle
Midpoint Postulate
You can construct exactly one midpoint on any line segment
Angle Bisector Postulate
You can construct exactly one angle bisector in any angle.
Parallel Postulate
Through a point not on a given line, you can construct exactly one line parallel to the given line
Perpendicular Postulate
Through a point not on a given line, you can construct exactly one line perpendicular to the given line.
Segment Addition Postulate
If point B is on AC and between points A and C, then AB+BC=AC
Angle Addition Postulate
If point D lies in the interior of Angle ABC the and ABD+ angle DBC=angle ABC
Linear Pair Postulate
If two angles are a linear pair, then they are supplementary; also applies to linear trios.
Corresponding Angles Postulate
If two parallel lines are cut by a transversal forming congruent corresponding anlges, then the lines are parallel.
SSS, SAS, and ASA Congruence Postulate
If the afore mentioned values (S for side, A for angles), are congruent in two or more triangles, those triangles are congruent.
Bonus: What is a... (when E is an even integer and O is an odd integer) ExE ExO OxO E+E E+O O+O
Even Even Odd Even Odd Even