Classifying an alloy as eutectic, peritectic, peritectoid, or isomorphous depends on what kind of reaction governs its solidification. Isomorphous systems involve complete solid solubility across all compositions, which iron and carbon do not exhibit. Peritectic and peritectoid reactions occur at different, specific regions of the iron-carbon diagram involving delta-ferrite or solid-state phase transformations, neither of which describes the way ordinary cast iron solidifies. Cast iron's composition, around 4.3 percent carbon, sits right at the point where liquid iron transforms directly into a solid mixture of austenite and cementite at one constant temperature, which is precisely the definition of a eutectic reaction, making cast iron a eutectic alloy.
Therefore, the correct answer is Eutectic alloy.
Defining each reaction type first and then matching cast iron's known solidification behaviour against those definitions is another reliable route to the same answer.
Matching the definition of each reaction type to cast iron's real solidification path confirms that it undergoes a eutectic transformation.
Therefore, the correct answer is Eutectic alloy.