After receiving an intramuscular injection in the buttock, a…

After receiving an intramuscular injection in the buttock, a 19-year-old male develops a limping gait. Physical examination reveals a Trendelenburg Sign. When standing stationary on his right foot with the left foot raised off of the ground, both sides of his hips remain at the same level. However, when attempting to stand stationary on his left foot with the right foot raised off of the ground, he cannot maintain his balance and he falls to his right side. This patient most likely has damage to the nerve that supplies which of the following muscle pairs?