You may also like

Triangle Midpoints

You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

Pareq Exists

Prove that, given any three parallel lines, an equilateral triangle always exists with one vertex on each of the three lines.

The Medieval Octagon

Medieval stonemasons used a method to construct octagons using ruler and compasses... Is the octagon regular? Proof please.

Folding Squares

Age 14 to 16
Challenge Level

Draw some squares and draw in a diagonal plus two lines joining one of the other two vertices to the midpoint of the opposite sides.

What do you notice?

Would this work with a rectangle, a parallelogram, a trapezium?