Constructions

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

Construct this design using only compasses

Can you reproduce the Yin Yang symbol using a pair of compasses?

Explain how to construct a regular pentagon accurately using a straight edge and compass.

Draw a line (considered endless in both directions), put a point somewhere on each side of the line. Label these points A and B. Use a geometric construction to locate a point, P, on the line, which is equidistant from A and B.

Draw a square and an arc of a circle and construct the Golden rectangle. Find the value of the Golden Ratio.

Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.