Ruler Postulate
The points on any line or line segment can be put into one-to-one correspondence with real numbers.
coordinate of a point on a number line
the number that corresponds to that point
uppercase letter
represents points
lower case letter
represents variables for the coordinate
The length of a line segment
is the absolute value of the difference between the points coordinates
congruent
Having the same size and shape
congruent segments
segments that have the same length
congruent angles
angles that have the same measure
adjacent angles
two angles that share a common vertex and side, but have no common interior points
angle addition postulate
If point P is in the interior of <RPS, then m<RPS + m<SPT= m<RST
Protractor Postulate
any angle can be put into one-to-one correspondence with real numbers between 0 and 180.
acute angle
an angle that measures less than 90 degrees
obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees
right angle
an angle that measures 90 degrees
straight angle
an angle that measures 180 degrees
AB+BC=AC
segment addition