A square, two orthogonal axes and two angles. What’s the proportion α : β?
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Guylines II
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An odd wrapping
A present fits inside a circle, and we tape the orange ribbons to the green midpoints of the sides, choosing them perpendicular to the opposite sides at the purple points. Show that the four ribbons have a point in common.
A triangle with two line segments. What’s the angle α?
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Pac-Man pack
Four Pac-Men eat the corners of a square while four others stand guard. What fraction of the square is eaten?
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Le col bleu
A square with two line segments. What fraction is blue?
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Angle chasing galore
Two intersecting circles with a triangle connecting them. Show that the three red points are collinear.
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Yeah, right!
A regular pentagon with three line segments. What’s the angle α?
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Go Orange
A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?
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Balloon lifting
Three small balloons are in congruent sheds awaiting lift off. The middle shed opens its side flaps. Show that its balloon can inflate, without rolling it, until it is tangent to the sides of the adjacent sheds.
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Night mountain
A rectangle containing three line segments. What fraction is blue?