The hands on the clock form an angle because they are two line segments that share the same endpoint. To understand this:
1. Clock Structure: A clock typically has two hands, the hour hand and the minute hand.
2. Line Segments: These hands are essentially line segments radiating from the center of the clock, which is their common endpoint.
3. Angle Formation: When two line segments share a common endpoint, they form an angle. The angle varies based on the time because the hands move relative to each other.
4. Choice Analysis:
- Option A: Correctly states that the hands are two line segments that share the same endpoint, leading to the formation of an angle.
- Option B: While it’s true that the hands lie in the same plane, this is not the primary reason for angle formation.
- Option C: The hands do lie in the same circle (the clock face), but this again does not directly explain why they form an angle.
- Option D: It is incorrect as the hands are not perpendicular to each other all the time; their relative positions change continuously.
Therefore, the correct option is:
Option A: The hands are two line segments that share the same endpoint.
