Question

name the segments in the figure below.
select all that apply.
a. \\(\vec{jk}\\) b. \\(\overline{ik}\\)
c. \\(\overline{kl}\\) d. \\(\overline{im}\\)
e. \\(\overline{ij}\\) f. \\(\overleftrightarrow{jk}\\)
g. \\(\overline{lm}\\) h. \\(\vec{kj}\\)
i. \\(\overline{jl}\\) j. \\(\vec{il}\\)

Explanation:

A segment is a part of a line with two endpoints. Let's analyze each option:

• Option A: $\overrightarrow{JK}$ is a ray, not a segment (has one endpoint and extends infinitely in one direction).
• Option B: $\overline{IK}$ has endpoints I and K, so it's a segment.
• Option C: $\overline{KL}$ has endpoints K and L, so it's a segment.
• Option D: $\overline{IM}$ - M is not a point on the given line (points are I, J, K, L), so this is incorrect.
• Option E: $\overline{IJ}$ has endpoints I and J, so it's a segment.
• Option F: $\overleftrightarrow{JK}$ is a line (extends infinitely in both directions), not a segment.
• Option G: $\overline{LM}$ - M is not a point on the given line, so incorrect.
• Option H: $\overleftrightarrow{KJ}$ is a line, not a segment.
• Option I: $\overline{JL}$ has endpoints J and L, so it's a segment.
• Option J: $\overleftrightarrow{IL}$ is a line, not a segment.

So the correct segments are those with two endpoints (the ones with the overline, not rays or lines) and with points that exist on the given line (I, J, K, L).

Answer:

B. $\overline{IK}$, C. $\overline{KL}$, E. $\overline{IJ}$, I. $\overline{JL}$