Angles - points, lines and parallel lines

problem
Robotic rotations

Age

11 to 16

Challenge level

How did the the rotation robot make these patterns?
problem
Shogi shapes

Age

11 to 14

Challenge level

Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?
problem
Polygon pictures

Age

11 to 14

Challenge level

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?
problem
Same length

Age

11 to 16

Challenge level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?