Four equilateral triangles. Prove that the red quadrilateral is a parallelogram.
Author: Rik D. Tangerman
Hang a right
Two circles, one having its centre on the other, and four line segments. Prove that the three coloured line segments are congruent.
North by Northwest
An equilateral triangle and a rectangle. What’s the angle α?
Ice cube II
A square with an extended side. What’s the angle α?
Along similar lines
The blue triangle is similar to the green one and has the same orientation. The midpoints between corresponding vertices are connected to form a red triangle. Prove that it is also similar.
Methane
Four orange unit circles and their red centres. What is the radius of the green circle? Kindly provided by Marshall W. Buck.
Rule of 72
Two triangles and an extended side. What’s blue : orange?
The bubble chamber II
A square with a diagonal and two circles. What is the area proportion of the two circles?
The hawfinch II
A circle with two tangents. What’s red : blue in terms of α?
Outside the frame
Two squares and an equilateral triangle. Prove that the area of the triangle plus the small square equals that of the large square.