1. **State the problem:** Identify which segment is a tangent to the circle. 2. **Recall the definition:** A tangent to a circle is a line that touches the circle at exactly one point. 3. **Analyze each option:** - PV: Check if it touches the circle at exactly one point. - US: Check if it touches the circle at exactly one point. - RT: Check if it touches the circle at exactly one point. - PQ: Check if it touches the circle at exactly one point. 4. **From the diagram (not shown here), PV is the line that touches the circle at exactly one point, making it the tangent.** **Final answer:** PV is the tangent. 1. **State the problem:** Identify which segment is a chord of the circle. 2. **Recall the definition:** A chord is a segment with both endpoints on the circle. 3. **Analyze each option:** - PV: Check if both endpoints lie on the circle. - US: Check if both endpoints lie on the circle. - RT: Check if both endpoints lie on the circle. - PQ: Check if both endpoints lie on the circle. 4. **From the diagram, PQ is a segment with both endpoints on the circle, so it is a chord.** **Final answer:** PQ is the chord. 1. **State the problem:** Identify which angle is an inscribed angle. 2. **Recall the definition:** An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. 3. **Analyze each option:** - ∠PVU: Check if vertex is on the circle and sides are chords. - ∠UST: Check if vertex is on the circle and sides are chords. - ∠QUS: Check if vertex is on the circle and sides are chords. - ∠USR: Check if vertex is on the circle and sides are chords. 4. **From the diagram, ∠QUS is an inscribed angle because its vertex U lies on the circle and its sides are chords.** **Final answer:** ∠QUS is the inscribed angle.