Question

the vertices are a, b, c, and d. the edges are ab, bc, cd, bd, and bb.

choose the correct graph below

a.
a●———●b
| /
| /
c●———●d

b.
a●———●b
| \\
| \\
c● d●

c.
a●———●b
| /
| /
c●———●d

Explanation:

Check each option against the given vertices (A, B, C, D) and edges (AB, BC, CD, BD).

• Option A:
• Vertices: A, B, C, D (present).
• Edges: AB (from A to B), BC (from B to C), CD (from C to D), BD (from B to D) (all present).
• Option B:
• Edge \( AB \) is not in the correct orientation (vertex A is circled, but the problem has no indication of a special vertex like that in the description. Also, the edges do not match the given set as per the problem's edge - vertex connection logic).
• Option C:
• Edge \( CD \) is not in the correct orientation (vertex D is circled, no such indication in the problem. Also, the edges' connection pattern does not match the given edge - vertex pairs as closely as Option A).

Answer:

A.