Question

Conduction is a transfer of heat energy that requires direct contact requires actual motion of substance it does not require matter all of the above

Answer 1

You see Heat is produced by the atoms motion ..

As matter has atom which are in continuous motion and they do motion by three ways

1) Translation : Motion in a straight line by atoms

2) Rotational : Electrons Revolving around nucleus

3) Vibrational : To and Fro motion of atoms

All the three motion combined produces Heat or Thermal Energy the more the motion of any type the more it has heat or thermal energy.

Now what happens in Conduction ; When we placed another object in contact with the object which have high thermal energy they transfer its energy to that object in contact that's when we says conduction of heat happens and here what actually transferring is not atoms or matter but its the energy and more accurately we say that they bump the matter in contact with the object also and because of this the object also acquires more thermal energy(or acquires more motion whether translation,rotational and vibrational).

This process of transfer continues up until the thermal energy of the two contact objects becomes equals, hence in a way we say that heat is transferred from high thermal energy to lower thermal energy.