Three squares are placed in a row. Prove that the red vertices are collinear.
Category: Beginner
Projection bias
Two regular pentagons are placed side by side. What’s the proportion blue : green?
The voting pencil
A square and a rectangle share a vertex. Two triangle areas are given. What is the total area?
The pentagon attack
Two regular pentagons and two diagonals. What’s the angle α?
Confined enclosure
A square containing four smaller squares. What fraction of its area is orange?
Lean on me
Two squares and two diagonals. Prove that the angles α and β are equal.
The dolphin
Two semicircles, a tangent and an altitude to the tangency point. Prove that the red triangle is isosceles.
Parallelism
A trapezium with its diagonals and a parallel line segment. What’s the proportion blue : red?
The Common Brimstone
A square divided by three line segments. What’s the proportion green : yellow?
Tension control
Three squares and a line segment of which a vertex is the midpoint. What is the proportion purple : green?