IMC 2007 Q3
3. In how many ways can a square be cut in half using a single straight line cut?
- A 1
- B 2
- C 4
- D 8
- E Infinitely many
Intermediate Mathematical Challenge 2007, Question 3. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E Infinitely many
Any line which passes though the centre of the square divides the square into two congruent shapes. An example is shown on the right.
Solution © UK Mathematics Trust, from the IMC 2007 solutions.