Final answer:
The area of parallelograms with a constant base of 2 centimeters is proportional to the height, as shown by the formula A = 2h, indicating a direct, constant rate of change between area and height.
Step-by-step explanation:
The question asks whether the area (A) of all parallelograms with a base of 2 centimeters is proportional to the height (h) in centimeters. The formula given is A = 2h. To determine if there is a proportional relationship, we can examine the structure of the formula. In this formula, the base of the parallelograms is constant at 2 centimeters and the area is directly affected only by the height since the formula can be rewritten as A/h = 2. This shows that for every unit increase in height, the area will increase by 2 square centimeters. This is a characteristic of proportional relationships, where one quantity changes at a constant rate with respect to another. Therefore, we can determine that the area of all parallelograms with a base of 2 centimeters is indeed proportional to the height in centimeters.