Question

if rs = 7, rt = 5, st = 12, and points r, s, and t are collinear, what is the relationship between points r, s, and t?
a) point r is between point s and point t.
b) point s is between point r and point t.
c) point t is between point r and point s.
d) there is not enough information to determine the relationship

Explanation:

Step1: Recall collinear - point distance property

If three points $R$, $S$, $T$ are collinear, then one of the following three equations holds: $RS + RT=ST$, $RS+ST = RT$, or $RT + ST=RS$.

Step2: Check the given distances

We have $RS = 7$, $RT = 5$, and $ST = 12$. Since $RT+RS=5 + 7=12=ST$.

Answer:

A. Point $R$ is between point $S$ and point $T$.