Question

Complete each sentence with the most appropriate word, phrase or value.

If$S$ is between $R$and$T$, then $\text{RS+ST=RT}$by the ________.

Short answer

The answer is theSegment addition postulate.

Step-by-step solution

Step 1. Consider the diagram.  

Here $RT$ is a line segment and $S$is a point on $RT$.

Step 2. State the Segment addition postulate.

Segment addition postulate states that, _“If a point$S$ is lies between Rand $T$,then it can be written as $RS+ST=RT$”.

Hence, the blank is filled by the term “Segment addition postulate”.

Step 3. State the conclusion.

Therefore, “If $S$is between $R$ and $T$, then $RS+ST=RT$by the Segment addition postulate”.