UKMT - Senior Mathematical Challenge - 2022 - 3 | Exact Science

3

The figure shows a regular hexagon. How many parallelograms are there in the figure?

A. 2 B. 4 C. 6 D. 8 E. more than 8

Answer

C

SOLUTIOn

Each parallelogram is formed from two adjacent equilateral triangles. There are six such pairs in the hexagonal figure.

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