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A figure is formed by drawing all the diagonals of a regular hexagon. How many axes of symmetry does the resulting figure have?

medium MCQ 2 marks Class 7 · Mathematics · Symmetry
  1. 6
  2. 12
  3. 8
  4. 4
Answer
6

The correct answer is 6 — Therefore the figure with the hexagon and its diagonals still has the same 6 axes of symmetry.

Step-by-step solution

  1. A regular hexagon has 6 axes of symmetry, one through each pair of opposite vertices and one through each pair of opposite sides.
  2. Drawing all diagonals adds lines that are already contained within the symmetry axes; it does not introduce new axes nor remove existing ones.
  3. Therefore the figure with the hexagon and its diagonals still has the same 6 axes of symmetry.
Common mistake: thinking each diagonal becomes a new axis of symmetry

Concept tested: symmetry of polygons after adding diagonals

Published · How this solution was prepared and checked

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