Kristina said, “There are two ways to cut the cake to make equal-sized pieces. Either
cut from one vertex to the opposite vertex or cut from the midpoint of one side to the
midpoint of the opposite side. Those are the only two ways to make one straight cut and
have two equal-sized cakes.”
Laurie said, “No, there are other ways besides your two ways to make one straight cut
and share the cake equally.”
Task 2: Who is right? Prove your findings.
a. If Kristina is correct prove why the two ways work and why there are only those
two ways.
Show all your working.
b. If Laurie is right, state the method(s) for cutting the cake equally and prove
your reasoning.
Show all your working.
MATHEMATICS PERFORMANCE TASK 90 CHRISTIE WAINWRIGHT