Of the two, the Chevy has the more radically different sheet metal. It ditches the somewhat frumpy, lumpy shape of the current Trax for a body inspired by the bigger Chevy Blazer. The roofline has sharp corners, and the hood is wide and flat. The front fascia, though obscured, shows the most connection to the bigger crossover. It has the same split headlight configuration, and it looks as though the grille takes up a sizable section of the fascia.
The Buick Encore on the other hand looks evolutionary in design. The body still has plenty of curves, and the distinctive, sharply rising window sill are all hallmarks of the current Encore design. The headlights and grille are similar, too, though the grille appears to be slightly updated to fit in with the Enclave and Regal. It's understandable that Buick might want to play it safe with the new Encore, since the model is Buick's best seller, selling about 23,000 units in the last quarter, nearly twice that of the next best performer, the Enclave.
Since this is the first time we've seen these little crossovers, we expect it will still be a year or two before we get to see them fully revealed. They will probably continue to use small-displacement turbocharged four-cylinder engines with either front- or all-wheel drive.