Waterfall model divides the project into fixed stages, so it has inflexible partitioning. Thus, $A-IV$.

Evolutionary model develops software through repeated versions or increments. Thus, $B-I$.

Component-based software engineering uses already available components, so requirement compromises may be needed according to available components. Thus, $C-II$.

Spiral development explicitly focuses on risk analysis in every cycle. Thus, $D-III$.

Final matching is $A-IV,\ B-I,\ C-II,\ D-III$.