Cumulative Standards Review
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Review the postulates.
C
Let's begin by reviewing the Angle Addition Postulate. It says that if point B is in the interior of ∠ AOC, then m ∠ AOB + m ∠ BOC = m ∠AOC.
Now we can review the other postulates to see which one most resembles the Angle Addition Postulate.
As we can see, this postulate does not resemble the Angle Addition Postulate at all.
Let's consider a ray OB and a point A on one side of OB. The Protractor Postulate says that every ray of the form OA can be paired one-to-one with a real number from 0 to 180.
As we can see, this postulate also does not resemble the Angle Addition Postulate.
The Segment Addition Postulate says that if three points A, B, and C are collinear and B is between A and C, then A B+ B C = A C.
Here we have addition as in the Angle Addition Postulate. Also, the segments AB and BC have a common endpoint. In the Angle Addition Postulate, the angles have a common vertex and a point. Thus, we can tell that this postulate resembles the Angle Addition Postulate the most so far.
The Area Addition Postulate tells us that the area of a region is the sum of the areas of its non-overlapping parts. As we can see, it also involves addition as the Angle Addition Postulate. However, the Segment Addition Postulate resembles the Angle Addition Postulate more.