ECZ 2025 · O-Level Paper 1 — Symmetry

The diagram shows a circle with centre O and six identical triangles. Triangle BOC is shaded. Name two other triangles that should be shaded so that the figure has rotational symmetry of order 3 about O.

Diagram for ECZ 2025 · O-Level Paper 1
  • A. Triangles AOB and COD
  • B. Triangles AOF and DOE
  • C. Triangles COD and EOF
  • D. Triangles AOB and EOF

Verified working — step 1

Rotational symmetry of order 3 means the figure matches itself after each rotation of 120° about O.

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

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

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