Final answer:
Rubber elasticity is the type of elasticity that will produce a resilient curl or firm wave.
Step-by-step explanation:
The type of elasticity that will produce a resilient curl or firm wave is known as rubber elasticity. Rubber elasticity is a property exhibited by materials like polymers and rubbers, where stretching the material under an applied force causes the polymer chains to stretch and then revert back to their original shape when the force is removed. This is because the elasticity of polymers and rubbers is caused by stretching the polymer chains under an applied force.