The
Distance
Postulate

There is a unique positive number corresponding to every pair of points

The Ruler
Postulate

The points on a line are in a one-to-one correspondence with real numbers, so that number differences measure distances.

Distance

The shortest path in-between two lines How do you measure segments

Using rulers, inches, feet, yards, meters....

How do you measure angles?

Protractor

what does the size of an angle represent The amount of turning you would have to do if you where at the vertex

The Angle measure postulate

There is a unique number between 0 and 360 corresponding to every angle

the protractor postulate

There is a one-to-one correspondence between the raysin a half-rotation and the real numbers from
0 to 180 inclusive, so that number differences measure angles.

Congruent

Segments or angles with the same measure

acute angle Measure is greater then 0 degrees and 90 degrees right angle Measure is
90 degrees

obtuse angle Measure is greater then 90 degrees and less then 180 degrees

straight angle Measure is
180
degrees

reflex angle Measure is greater then 180 degrees less then
360 degrees

Bisector

Any point, segment, ray, line, or plane that contains the midpoint of the segment. Trisect

Two point, segments, rays, or lines that divide a segment into three congruent segments. Circle

The set of all points in a plane having the same distance/radius from a fixed point/center.

polygon

union of segments meeting only at endpoint such that 1. No more then two segments meet at one point and 2. Each segment meets exactly two other segments. (closed shape)