Problems

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

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

Cut the following figure into two equal parts.

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

Daniel has drawn on a sheet of paper a circle and a dot inside it. Show that he can cut a circle into two parts which can be used to make a circle in which the marked point would be the center.

Is it possible to cut such a hole in \(10\times 10 \,\,cm^2\) piece of paper, though which you can step?

Cut the following shape into four equal figures.

Cut the following shape into two equal parts.

Cut the "biscuit" into 16 congruent pieces. The sections are not necessarily rectilinear.

Is it possible to cut this figure, called "camel"

• a) along the grid lines;

• b) not necessarily along the grid lines;

into \(3\) parts, which you can use to build a square?
(We give you several copies to facilitate drawing)