Because the equator runs through the center of kenya, parts of the country are very cold are very hot have days and nights of equal length year round have no change in seasons

The correct answer is - have no change in seasons.
All the places on Earth that lye on the Equator have only one season, that season is summer. But we are not talking about a summer like in the temperate climates where it is hot and dry usually, this is a summer with temperatures around 25-30 degrees, so not very hot, almost daily rainfall around 2-3 o'clock PM, and very big humidity in the air. The temperatures are constant throughout  the whole year, and the variations are very small.