A square with two line segments. What fraction is blue?
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Le col bleu
Month: July 2023
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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?
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Pink parallels
A pink parallelogram with two extended sides. What’s α : β?
The red and green wedges subtend the same angle, there are two right angles, and the blue sides have the same length. What is the ratio of lengths of the green and red segments?
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By coincidence
Three squares and a circle. Prove that the red point is on two squares and the circle.
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Movie film II
Five squares in a configuration. What’s the angle α?