# Construction - September 2005, Stage 4&5

## Problems

##### Age 14 to 16 Challenge Level:

Construct this design using only compasses

##### Age 14 to 16 Challenge Level:

Can you work out the fraction of the original triangle that is covered by the inner triangle?

##### Age 14 to 16 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Change the squares in this diagram and spot the property that stays
the same for the triangles. Explain...

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Join in this ongoing research. Build squares on the sides of a
triangle, join the outer vertices forming hexagons, build further
rings of squares and quadrilaterals, investigate.

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