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IMAS 2015 — Upper Primary Grades 5–6 — Round 2 Question 11

IMAS · IMAS 2015 — Upper Primary Grades 5–6 — Round 2

Question 11

The diagram shows a shaded triangle in a 6 by 6 board. How many triangles are there such that their edges are all grid lines of the board or the edges of EFGH, and their angles are equal respectively to the angles of the shaded triangle? You should also count the shaded triangle.

Question illustration