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
A
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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