Week 3 Flashcards
An accepted statement without proof.
postulate
A statement whose truth is accepted only after it has been proven.
theorem
A statement whose proof follows that of a given theorem.
corollary
a plane that is divided into 2 sub-sets
half-plane
the point on the line segment that divides the segment into two congruent segments.
midpoint
Two segments are said to be congruent if they have ______
equal lengths
the distance between two points is the absolute value of the difference between the real numbers in the number line
ruler postulate
Two points determine exactly one line.
line postulate
If two distinct lines intersest, then their intersection is a point.
theorem
For every three noncollinear points, there is exactly one plane through these points.
plane postulate
If two distinct planes intersect, then their intersection is a line.
postulate
If two points lie in a plane, then the line connecting them lies in that plane.
postulate
If a line contained in a plane intersects the plane, then the intersection contains only one point.
theorem
A line and a point not on the line are contained in exactly one plane
theorem
Every plane contains at least two intersecting lines.
theorem
