Theorem Thursday Flashcards
Ruler postulate
The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinate of the point. The distance between points A and B, written as AB=|A-B|
Segment Addition Postulate
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B is between A and C.
Protractor Postulate
Consider line OB ad a point A on one side of line OB. The rays of the form ray OA can be matched one to one with the real numbers from 0-180. The measure of angle AOB, which can be written as m
Angle addition postulate
If P is in the interior of
Two point postulate
Through any two points, there exists exactly one line
Line-point postulate
A line contains at least two points
Line intersection postulate
If two lines intersect,then their intersection is exactly one point
Three point postulate
Through any three non-collinear points, there exists exactly one plane
Plane-point postulate
A plane contains at least three non-collinear points
Plane-line postulate
If two points lie in a plane, then the line containing them lies in the plane
Plane intersection postulate
If two planes intersect, then their intersection is a line
Linear pair postulate
If two angles form a linear pair, then they are supplementary
Midpoint formula
(X1+x2 over 2,y1+y2 over 2)
Distance formula
d=square root of (x2-x1)^2 +(y2-y1)^2
Partitioning a segment on a number line
ax1+bx2 over a+b partitions the segment in the ratio b:a
Square
P=4s
A=s^2
Rectangle
P=2l+2w
A=lw
Triangle
P=a+b+c
A=1/2bh
