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Middle journey
The midpoint (center) of the incircle is I. R is the midpoint of the red segment and G is the midpoint of the green segment. Show the RIG makes a line.
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Tip of tipi
A regular hexagon is divided in four triangles and one quadrilateral. Express the hexagon area in terms of areas A, B and C.
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Video: Centre stage
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The Dutch roll
Two regular hexagons share a vertex. What is the angle α?
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Criss cross chords
The blue unit circle has a diameter and several colored chords. The red chord bisects the angle between the green chords. Express the sum of the green chords in terms of the red and purple chords.
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Video: The helmet visor
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Ragged mountain II
A square is divided in two regions. What fraction is grey?
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Video: Man in the middle
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Pentagon pleasure II
A regular pentagon and its circumcircle. What is blue : orange?