Question

question 13 (1 point) determine whether each conjecture is true or false. give a counterexample for any false conjecture. if s, t, and u are collinear and st = tu, then t is the midpoint of su. a true b false; u is the midpoint of st.

Explanation:

Step1: Recall mid - point definition

If a point $M$ is the mid - point of a line segment $\overline{AB}$, then $AM = MB$.

Step2: Analyze the given conjecture

Given that $S$, $T$, and $U$ are collinear and $ST=TU$. Let's assume the lengths of the line - segments. If $ST = TU$, it means that $T$ divides the line segment $\overline{SU}$ into two equal parts. By the definition of a mid - point (a point that divides a line segment into two equal parts), $T$ is the mid - point of $\overline{SU}$.

Answer:

a. True