1. **Stating the problem:** Identify which letter labels correspond to a major arc, a minor sector, and a major segment based on the given circle diagrams. 2. **Definitions and formulas:** - A **major arc** is an arc longer than a semicircle (greater than 180°). - A **minor sector** is a smaller sector of a circle, less than 180°. - A **major segment** is the larger region bounded by a chord and the corresponding arc, larger than a semicircle. 3. **Analyzing the left circle:** - Sector A is smaller (green), sector B is larger (blue). - Since sector A is smaller than 180°, it is a minor sector. 4. **Analyzing the center circle:** - Arc C is visibly larger than arc D. - Since arc C is larger than 180°, it is a major arc. 5. **Analyzing the right circle:** - The chord divides the circle into two segments: E (yellow) and F (pink). - Segment E is larger than segment F, so E is the major segment. **Final answers:** - a) Major arc: C - b) Minor sector: A - c) Major segment: E