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GRE Quantitative Reasoning QUESTION #8084
Question 1

The greatest number of diagonals that can be drawn from one vertex of a regular hexagon (6-sided polygon) is:

  • $2$
  • $3$✔️
  • $5$
  • $6$
Correct Answer Explanation

A regular hexagon has 6 vertices. From any one vertex, we can draw diagonals to all other vertices except:

  • The vertex itself
  • The two adjacent vertices (these would be sides, not diagonals)

So from one vertex, we can draw diagonals to $6 - 3 = 3$ vertices.

Therefore, the maximum number of diagonals from one vertex is $3$.