Question

if rs = 5, kt = 12, st = 7, 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 property

If three points \(R\), \(S\), and \(T\) are collinear, and \(RS = 5\), \(KT=12\), \(ST = 7\). We know that if a point \(X\) is between two other points \(Y\) and \(Z\), then \(YZ=YX + XZ\). Here, \(RS+ST=5 + 7=12=KT\).

Step2: Determine the position of points

Since \(RS+ST = RT\) (where \(RT = KT\) as the points are collinear), point \(S\) is between point \(R\) and point \(T\).

Answer:

B. Point S is between point R and point T.