Question

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

figure	type	how to write it
(b) line segment with endpoints k (left) and j (right), both with dots	∘ line ∘ ray ∘ line segment	blank
(c) ray with endpoint m (right) and point l (left), arrow extending left from l	∘ line ∘ ray ∘ line segment	blank

Explanation:

Part (a)

Step1: Identify the type

A line extends infinitely in both directions. The figure has arrows on both ends, so it's a line.

Step2: Write the line

A line can be named by two points on it with a line symbol above. So it's \(\overleftrightarrow{HG}\) (or \(\overleftrightarrow{GH}\)).

Step1: Identify the type

A line segment has two endpoints and no arrows (it doesn't extend infinitely). The figure has two endpoints \(K\) and \(J\), so it's a line segment.

Step2: Write the line segment

A line segment is named by its two endpoints with a segment symbol above. So it's \(\overline{KJ}\) (or \(\overline{JK}\)).

Step1: Identify the type

A ray has one endpoint and extends infinitely in one direction (the direction of the arrow). The figure has an endpoint \(M\) and an arrow starting at \(L\) going left, so it's a ray with endpoint \(M\) and passing through \(L\).

Step2: Write the ray

A ray is named by its endpoint first, then another point on the ray, with a ray symbol above. So it's \(\overrightarrow{ML}\).

Answer:

Type: line; How to write it: \(\overleftrightarrow{HG}\) (or \(\overleftrightarrow{GH}\))

Part (b)