A point represents an exact location; a line extends infinitely in both directions, a ray has one endpoint and extends infinitely in one direction, and a segment has two endpoints and a finite extent. Diagrams and standard notation distinguish endpoints from arrowheads, while recognizing that a drawing of a line or ray is only a representation of an unbounded object; the focus is on these basic relationships rather than coordinate equations or formal axiomatic treatment.
Detailed Explanation: Identify points, lines, rays, and segments
A figure’s end markings tell you what it represents:
A point is an exact location, shown by a dot. It is named with one capital letter, such as P.
A line extends forever in both directions, so it has arrowheads on both ends. It is named with two points, such as QR.
A ray has one endpoint and extends forever in one direction. It has one dot and one arrowhead. Name the endpoint first, such as ST.
A segment has two endpoints and a finite length. It has dots on both ends and no arrowheads. It is named with two points, such as UV.
Worked example
Identify each figure.
1. • P
2. ←────•────────•────→
Q R
3. •────────────→
S T
4. •────────────•
U V
Step 1: Look at the markings.
Figure 1 has only one dot, so it is a point: P.
Figure 2 has arrowheads on both ends, so it extends forever in both directions. It is a line: QR.
Figure 3 has one endpoint at S and an arrowhead pointing right, so it is a ray: ST. The endpoint is named first.
Figure 4 has two endpoints and no arrowheads, so it is a segment: UV.
Remember: The drawing of a line or ray shows only part of it. The arrowhead means that the figure continues forever in that direction.
Learn by doing: Identify points, lines, rays, and segments
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