Categories
Intermediate

The lorgnette

An ellipse, two circles centred in its focal points, a chord and a tangent. What is the angle α?

Categories
Beginner

And rightly so

A regular hexagon with a diagonal and a right triangle. What fraction is orange?

Categories
Advanced

Count to five

A triangle with a cevian. What’s α?

Categories
Beginner

The manta ray

A quadrilateral with connected side midpoints. What’s blue : red : yellow?

Categories
Intermediate

The truss bridge

Two lines connected by five triangles. Prove that orange = blue.

Categories
Intermediate

The sandal

A triangle with two angular bisectors. What’s the proportion blue : red?

Categories
Beginner

The baboon

A square containing a square and an equilateral triangle. What fraction is pink?

Categories
Advanced

The orange pennant

A regular pentagon with two coloured triangles. What’s the proportion orange : blue?

Categories
Beginner

Sliding down II

A quarter circle and a square. What’s the angle α?

Categories
Intermediate

The gate

Two equilateral triangles sharing a vertex and three line segments. Prove that the red triangle is isosceles.