Categories
Beginner

The see-through triangle

A regular hexagon and an equilateral triangle share a vertex. What is red : blue?

Categories
Intermediate

Go Orange

A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?

Categories
Advanced

Pink parallels

A pink parallelogram with two extended sides. What’s α : β?

Categories
Beginner

Bowtie II

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?

Categories
Beginner

Downhill skiing

Choose any point D on the side AB of an isosceles triangle ABC, then extend the side AC beyond C to a point F with |CF| = |DB|. Show that the segment DF is cut exactly in two by the third side BC—that the orange and red trails are equal.

Categories
Intermediate

Half right

A right triangle with two angle bisectors. What is red : blue?

Categories
Intermediate

The green diamond

Two equilateral triangles are placed side by side. The common (blue) side is extended. What is red : blue?

Categories
Advanced

The ball pit

Two rectangles contain 6 congruent circles. The common rectangle side passes through the top centre. What’s yellow : red?

Categories
Intermediate

Centre of attraction

An equilateral triangle with two perpendiculars to a point that is at the same height as the triangle centre. What is red : yellow?

Categories
Intermediate

Tumbler doll II

Three squares and a circle. The red point is a common intersection of two square sides and the circle. What is blue : green?