Question

if t is the midpoint of rs and v lies between r and t, which statement must be true? rv + vt = ts st + tv = rt rv ≥ tv vs ≥ st

Explanation:

Step1: Recall mid - point property

Since \(T\) is the mid - point of \(\overline{RS}\), we have \(RT = TS\).

Step2: Use segment addition postulate

By the segment addition postulate, since \(V\) lies between \(R\) and \(T\), \(RV+VT = RT\).

Step3: Substitute \(RT\) with \(TS\)

Because \(RT = TS\), we can substitute \(RT\) in the equation \(RV + VT=RT\) to get \(RV+VT = TS\).

Answer:

RV + VT = TS