Question

in circle t, $angle ptq cong angle rts$.
what is the length of $overline{pq}$?
3 units
4 units
6 units
7 units

Explanation:

Step1: Identify congruent central angles

Given $\angle PTQ \cong \angle RTS$

Step2: Use chord-central angle theorem

In a circle, congruent central angles intercept congruent chords. $\overline{RS}$ is the chord intercepted by $\angle RTS$, and $\overline{PQ}$ is the chord intercepted by $\angle PTQ$. From the diagram, the length of $\overline{RS}$ is 4 units.

Answer:

4 units