Answer: The correct answer is True.
Step-by-step explanation:
Average kinetic energy of the particles is defined as the average of the kinetic energies of the particles present in a medium. It is the measure of temperature of the medium.
Mathematically,

where,
K = kinetic energy
T = Temperature

As, kinetic energy of the particles is directly proportional to the temperature. Increase in temperature will result in the increase in the kinetic energy and vice-versa.
We are given, that the temperature of the two glasses are same, so the average kinetic energy of the particles will also remain same.
Hence, the correct answer is True.