Question

How are the Segment Addition Postulate and the Angle Addition Postulate similar?

A. They both involve adding segments or angles together.
B. They both relate to the concept of combining or joining geometric elements.
C. They both apply to straight lines or line segments.
D. They both involve the concept of equality.
E. They both play a role in proving geometric theorems.

Answer 1

The Segment Addition Postulate and the Angle Addition Postulate both involve the concept of combining geometric elements and are fundamental in proving geometric theorems.

Step-by-step explanation:

The Segment Addition Postulate and the Angle Addition Postulate are similar in several ways. One key similarity is that they both involve the concept of combining or joining geometric elements. In particular, the Segment Addition Postulate is used when dealing with line segments, stating that if point B is between points A and C, then AB + BC = AC. The Angle Addition Postulate, on the other hand, applies to angles and states that if point B lies in the interior of ∠AOC, then ∠AOB + ∠BOC = ∠AOC. Both postulates are foundational in geometry and are essential in proving geometric theorems.