1

Which of the shapes below cannot be divided into two trapeziums by a single straight  line?

A. triangle  B. rectangle C. trapezium D. regular hexagon E. square

Answer

A

SOLUTIOn

The diagrams on the right show how a rectangle, a trapezium, a regular hexagon  and a square can be divided into two trapeziums by a single straight line.  However, when a single straight line cuts through a triangle, the triangle is  divided into a triangle and a quadrilateral or, if the line passes through a  vertex of the original triangle, two triangles. Hence the shape that cannot  be divided into two trapeziums is a triangle.

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