Puzzles
Four points on a shape
Source: UKMT Senior Maths Challenge 2014
Fiona wants to draw a 2-dimensional shape whose perimeter passes through the points A, B, C and D
![](javascript:showlimage("four-points.png"))
Which of the following shapes can she draw?
(i) A circle
(ii) An equilateral triangle
(iii) A square
![](javascript:showlimage("four-points-circle.png"))
![](javascript:showlimage("four-points-triangle.png"))
![](javascript:showlimage("four-points-square.png"))
If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXIV,
puzzles about geometry, or a random puzzle.
puzzles about geometry, or a random puzzle.