Final answer:
The properties define either a ray or a line segment. A ray continues indefinitely in one direction and begins at a single point, whereas a line segment has a fixed length with two endpoints. Additionally, terms such as displacement, vector, acceleration, and reference point definitively relate to the geometrical and physical nature of these objects.
Step-by-step explanation:
The student's question appears to focus on identifying the nature of certain mathematical objects based on their properties. Particularly, this question asks about sorting properties that define whether something is a ray or a line segment.
Here are the answers for the characteristics matching a ray or a line segment:
- (a) Cannot be measured - This property is difficult to interpret without context, but in general, both rays and line segments can have certain measures (like length for line segments or an angle measure for rays).
- (b) Ray - This is a self-defining property indicating the object in question is a ray.
- (c) Line Segment - This is a self-defining property indicating the object in question is a line segment.
- (d) Has a definite beginning and end - This property defines a line segment, as it consists of two endpoints.
Now, to answer some of the provided descriptions that require one word/term:
- (a) The shortest path from start to finish. - Displacement
- (b) A physical quantity with magnitude and direction. - Vector
- (c) The quantity defined as a change in velocity over a time period. - Acceleration
- (d) The point from where you take measurements. - Reference Point
- (e) The distance covered in a time interval. - Distance
- (f) The velocity at a specific instant in time. - Instantaneous Velocity