Step 1: Non-foliated metamorphic rock analysis (A)
These rocks lack layers. Quartzite, derived from sandstone, is a prime example. Thus, A corresponds to (IV).
Step 2: Foliated metamorphic rock analysis (B)
These rocks exhibit layers due to aligned minerals. Gneiss, a high-grade foliated rock, displays distinct banding. Thus, B corresponds to (III).
Step 3: Igneous rock analysis (C)
Igneous rocks originate from cooled magma or lava. Rhyolite is a volcanic (extrusive) igneous rock. Thus, C corresponds to (II).
Step 4: Sedimentary rock analysis (D)
Sedimentary rocks form from sediment accumulation. Dolomite (Dolostone) is a sedimentary carbonate rock. Thus, D corresponds to (I).
Conclusion: The correct match is A-IV, B-III, C-II, D-I.