Statement (1) is correct. If the temperature of a semi conductor rises, its resistivity will decrease.
At a very low temperature, most charge carriers are inactive very few free electrons in the conduction band and free holes in the valence band, where these charge carriers can roam free and complete the circuit when an electrical source is connected to a bar of the material.
As the temperature rises, the probability of finding free electrons in the conduction band and free holes in the valence band increases, resulting in more free charge carriers available, hence lower resistance.
Statement (2) is incorrect. Resistors (protecting components) are used to split voltage between different parts of the electric circuit.