Why can the sun transmit heat to Earth only by radiation?

The space between the sun and Earth contains almost no matter.
The molecules in the sun are moving too fast to cause conduction.
Radiation does not require the creation of electromagnetic waves.
Radiation transmits heat through the motion of a gas.

The correct answer is: The space between the sun and Earth contains almost no matter.

As space is mostly a vacuum, there is very little matter or gas particles present to transmit heat through conduction or convection. The majority of the heat from the sun reaches the Earth through radiation, which is the transfer of heat energy through electromagnetic waves.