According to Science World, homogeneous matter is a chemistry term that refers to matter that is uniform, or has the exact same composition throughout. The opposite of homogeneous matter is heterogeneous matter.
Homogeneous matter is dispersed everywhere in equal proportions and can be split into its molecules. When dividing a homogeneous substance in half, the amount of the substance remains equal in both halves. For example, a container of 50 units of saturated sugar water divided in half, by volume, results in two containers of exactly 25 units each without dilution.
Some examples of homogeneous matter include the saturated sugar water mentioned earlier as well as air and sodium chloride (salt). All solutions used in chemistry are examples of homogeneous mixtures.