Postulates Flashcards
Line Postulate
You can construct exactly one line through any two points. In other words, 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 posulate
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 line AC and between points A and C, then AB + BC = AC
Angle addition Postulate
if point D lies in the interior of angle ABC, then angle ABD + DBC = ABC
Linear Pair Postulate
If two angles are a linear pair, then they are supplementary
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the corresponding angles are congruent. Conversely, if two lines are cut by a transversal forming congruent corresponding angles, then the lines are parallel
SSS Congruence Postulate
If the three sides of one triangle are congruent to three sides of another triangle then the two triangles are congruent
SAS Congruence Postulate
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent
ASA Congruence Postulate
If two angles and the included side in one triangle are congruent to two angles and the included side in another triangle then the two triangles are congruent
