In Fig. 2.45 how many line segments are there? Name them.

6 — AB, AC, AD, BC, BD, CD.
Step 1: There are four points: A, B, C, D.
Step 2: A line segment is formed by choosing any two different points.
Step 3: List all pairs (each pair gives one segment):
Step 4: So the segments are: AB, AC, AD, BC, BD, CD.
Count check (optional):
( inom{4}{2} )
( = dfrac{4 imes 3}{2 imes 1} )
( = 6 )
Answer: 6 line segments.