Geometry 2.3 - 2.4 Flashcards
Through any 2 points there is exactly 1 line.
Two point postulate
A line consists at least 2 points.
Line-point postulate
If 2 lines intersect, then their intersection is exactly 1 point.
Line intersection postulate
Through any 3 noncollinear points, there exists exactly 1 plane.
Three point postulate
A plane contains at least three noncollinear points.
Plane-point postulate
If 2 points lie in a plane, then the line containing them lies in the plane.
Plane-line postulate
If 2 planes intersect, then their intersection is a line.
Plane intersection postulate
A line is a ____ if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point.
line perpendicular to a plan
If a = b, the a + c = b + c
Addition property of equality
If a = b, the a - c = b - c
Subtraction property of equality
If a = b, the a x c = b x c, c does not = 0
Multiplication property of equality
If a = b, the a/c = b/c, c does not = 0
Division property of equality
If a = b, then a can be substituted for b in any equation or expression.
Substitution property of equality
a = a, AB = AB, M<a = m<A
Reflexive property of equality
If a = b, the b = a. If AB = CD, then CD = AB. If M<A = m<B, then m<B = m<A
Symmetric property of equality
