Answer to Question 1
An indifference curve shows those combinations of goods for which a consumer is indifferent. The consumer has the same level of satisfaction for any combination on a given indifference curve. The family of indifference curves is the preference map. This map shows the person's preferences because it shows how the person ranks each combination of goods. In particular, the person prefers combinations on higher indifference curves to combinations on lower indifference curves.
Answer to Question 2
D