Question

what is the second step in the construction?
a. open the compass to the length of tr.
b. place the compass at point t (or s) and draw an arc through s (or t).
c. open the compass to the length of ts.
d. place the compass at point t (or r) and draw an arc through r (or t).

Explanation:

In geometric construction, often the first step might be to identify points. The next logical step when dealing with line - segments and using a compass is to set the compass to the length of a relevant line - segment. Here, opening the compass to the length of $\overline{TS}$ is a common second step in many geometric construction tasks such as constructing congruent line - segments or triangles.

Answer:

C. Open the compass to the length of $\overline{TS}$.