Identify the relationship between kinetic energy (ke) and gravitational potential energy (pe) for the cyclist at each position. ke increases while pe decreases. pe is at a minimum. ke decreases while pe increases. pe is at a maximum.

Every moving object has kinetic energy . PK=m*v^2
Any object that is raised against the force of gravity stores gravitational potential energy. PE = mass*g*height

According the Law of Conservation on Energy the total energy of an isolated system remains constant. In other words, the kinetic energy plus the potential energy equals a constant (KE+PE=Constant).
So, it is true that if KE increases, than PE decreases.
When PE is at a minimum, than KE is at a maximum.
It is true also that KE decreases while PE increases .
And that PE is at a maximum, KE is at a minimum.