Question

triangle congruence: sss and hl
applying the converse of the perpendicular bisector theorem
what is the length of segment tr?
units

Explanation:

Step1: Apply the converse of perpendicular - bisector theorem

Since $SR = SQ=10$ and $l$ is perpendicular to $RQ$ at $T$, by the converse of the perpendicular - bisector theorem, $l$ is the perpendicular bisector of $RQ$. So $TR=TQ$.

Step2: Identify the value of $TQ$

We are given that $TQ = 8$.

Answer:

8