In small saucepan, over medium-high heat, bring vinegar to a boil. Boil uncovered until slightly thickened, 1-3 minutes. In small bowl, drizzle vinegar over strawberries and toss gently. Set aside.
Dressing:
In small bowl, whisk together oil, garlic, salt and pepper. Any excess vinegar from strawberries, drain off and whisk into dressing.
To Assemble:
Add enough dressing to salad to coat lightly. Arrange a nest of salad onto six salad plates; arrange glazed strawberries over salad. Sprinkle chevre over each salad.