1. **Stating the problem:** You are asked to identify and understand parts of a circle based on given points and lines: center, radius, chord, diameter, secant, tangent, point of tangency, minor arc, major arc, semicircle, central angle, and inscribed angle. 2. **Definitions and formulas:** - **Center (K):** The point equidistant from all points on the circle. - **Radius (KL):** A segment from the center to any point on the circle. - **Chord:** A segment with both endpoints on the circle. - **Diameter (JI):** A chord passing through the center, twice the radius. - **Secant:** A line that intersects the circle in two points. - **Tangent (GJ):** A line touching the circle at exactly one point. - **Point of Tangency (J):** The point where the tangent touches the circle. - **Minor Arc:** The smaller arc between two points on the circle. - **Major Arc:** The larger arc between two points on the circle. - **Semicircle:** An arc that is exactly half the circle. - **Central Angle (\angle TikL):** An angle with vertex at the center and sides through two points on the circle. - **Inscribed Angle:** An angle with vertex on the circle and sides through two points on the circle. 3. **How to identify each part:** - **Center (K):** Locate point K inside the circle. - **Radius (KL):** Draw segment KL from center K to point L on the circle. - **Chord:** Identify any segment connecting two points on the circle, e.g., segment HI. - **Diameter (JI):** Find segment JI passing through center K; it is the longest chord. - **Secant:** A line passing through the circle intersecting it at two points, e.g., line through points G and L. - **Tangent (GJ):** Line GJ touches the circle only at point J. - **Point of Tangency (J):** The single point where tangent GJ touches the circle. - **Minor Arc:** The smaller arc between two points, e.g., arc JL. - **Major Arc:** The larger arc between the same two points, e.g., arc JKL. - **Semicircle:** Arc JIL if JI is diameter. - **Central Angle (\angle TikL):** Angle with vertex at center T (assuming T is center) and rays through points i and L. - **Inscribed Angle:** Angle with vertex on the circle, formed by two chords. 4. **Summary:** To do the top part, identify each element by locating points and lines as per definitions above on the given circle diagram. Use the properties of circles to distinguish chords, diameters, tangents, and arcs.