Question

classify each figure as a line, ray, or line segment. then, show how to write it.

figure	type	how to write it

| (a) <point with a and b, blue line segment> | ⚫ line
⚪ ray
⚪ line segment | empty box |
| (b) <point with e (dot) and f (arrow), blue ray> | ⚪ line
⚫ ray
⚪ line segment | empty box |
| (c) <point with c and d, blue line with arrows both ends> | ⚪ line
⚪ ray
⚫ line segment | empty box |

Explanation:

Part (a)

Step1: Identify the type

The figure has two endpoints (A and B), so it's a line segment.

Step2: Write the notation

A line segment is written with a bar over the two endpoints: $\overline{AB}$

Step1: Identify the type

The figure has one endpoint (E) and extends infinitely in one direction (towards F and beyond), so it's a ray.

Step2: Write the notation

A ray is written with an arrow over the endpoint and the direction point: $\overrightarrow{EF}$

Step1: Identify the type (correction)

The figure has arrows on both ends, extending infinitely in both directions, so it's a line (the original selection of line segment is incorrect).

Step2: Write the notation

A line is written with a double - headed arrow over the two points: $\overleftrightarrow{CD}$

Answer:

Type: line segment, How to write it: $\overline{AB}$

Part (b)