ECZ 2021 · GCE Paper 1 — Symmetry

Describe fully the symmetry of the diagram below, given that OA and OB are two identical arms of a windmill and angle AOB = 90°.

Diagram for ECZ 2021 · GCE Paper 1
  • A. Rotational symmetry of order 4 about O
  • B. Rotational symmetry of order 2 about O
  • C. One line of symmetry, along the bisector of angle AOB
  • D. Two lines of symmetry, along OA and OB

Verified working — step 1

The arms of a windmill are rotational copies of each other. Identical arms 90° apart mean the complete windmill maps onto itself under a quarter turn …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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