The rhombus division problem in the IMC exam.

Can you solve the rhombus division problem in the International Mathematical Competition (IMC) for students in grades 3-8 within 10 minutes?

Topic:

A rhombus is a quadrilateral with four equal sides. In any rhombus, any two opposite sides are parallel to each other.

Consider a positive integer n >= 6. Prove that ra can divide any given rhombus into n smaller (not necessarily equal) rhombuses.

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Vo Quoc Ba Can

Math teacher, Archimedes Academy Hanoi

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