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HKIMO 2026 Grade 8 National Preliminary Set 01 Question 23

HKIMO · HKIMO 2026 Grade 8 National Preliminary Set 01

Question 23

The figure shows a nine-sided polygon. How many line segments are formed if all its vertices are joined to one another?

Editorial convention: count segments whose endpoints are original polygon vertices; crossings do not create extra endpoints. Include both sides and diagonals.

Question illustration
  1. 72
  2. 81
  3. 27
  4. 36