Think!
If lines from the vertices of a square are drawn to the midpoints of adjacent sides, then the area of the smaller square produced is one-fifth that of the given square. Can you prove it?
Please enable Java for an interactive construction (with Cinderella).
This diagram illustrates the proof. Can you see it?
Please enable Java for an interactive construction (with Cinderella).
If lines from the vertices of a
square are drawn to the midpoints of adjacent sides, then the area of the
smaller square produced is one-fifth that of the given square. Can you prove
it?