This problem in geometry has been solved in no less than EIGHT ways
by a pair of students. How would you solve it? How many of their
solutions can you follow? How are they the same or different? Which
do you like best?
Age 16 to 18 Challenge Level:
The point $P=(x,y)$ has image $P'=(ax+by, cx+dy)$. Draw diagrams
and consider the effect of the transformation on the line $OP$
joining $P$ to the origin.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.