Problems

Cut the trapezium \(ABCD\) into two parts which you can use to construct a triangle.

Cut an arbitrary triangle into 3 parts and out of these pieces construct a rectangle.

Cut the following shape into two equal parts.

Cut the following figure into two equal parts.

Cut the following shape into four equal figures.

Suppose that a rectangle can be divided into \(13\) equal smaller squares. What could be the side lengths of this rectangle?

Cut a square into two equal:
1. Triangles.
2. Pentagons
3. Hexagons.

A circular triangle is a triangle in which the sides are arcs of circles. Below is a circular triangle in which the sides are arcs of circles centered at the vertices opposite to the sides.

Draw how Robinson Crusoe should put pegs and ropes to tie his goat in order for the goat to graze grass in the shape of the circular triangle.

Cut this figure into \(4\) identical shapes. (Note: you have to use the entire shape. Rotations and reflections count as identical shapes)

Cut a square into three parts and use these pieces to form a triangle whose angles are all acute (i.e: less than \(90^\circ\))