Let's take a look at them one at a time to make them easier to understand. The postulates listed above can sound confusing. If angle AOC is a straight angle, then the measurement of angle AOB + the measurement of angle BOC equals 180°. If point B is in the interior of angle AOC, then the measurement of angle AOB + the measurement of angle BOC equals the measurement of angle AOC. If ray OC is paired with x and ray OD is paired with y, then the measurement of angle COD equals the absolute value of x - y.ray OA is paired with 0 and ray OB is paired with 180.Ray OA, ray OB, and all the rays with endpoint O that can be drawn on one side of line AB can be paired with the real numbers from 0 to 180 in such a way that: Let ray OA and ray OB be opposite rays in a plane. If three points A, B, and C are collinear, and B is between A and C, then AB + BC = AC. The points of a line can be put into a one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers. Each will be explored in greater detail in this lesson: Now, review four geometric postulates about line segment and angle measurement.
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