Final answer:
False. Two congruent figures have equal area but the converse is not necessarily true.
Step-by-step explanation:
False. Two congruent figures have equal area and are identical in shape, but the converse is not necessarily true.
For example, consider two rectangles with equal area. One rectangle could have dimensions of 4 units by 4 units, and the other rectangle could have dimensions of 2 units by 8 units. Although they have the same area of 16 square units, they are not congruent because their dimensions (and therefore their shape) are different.
Therefore, two congruent figures have equal area, but two figures with equal area are not necessarily congruent.
Learn more about Congruent figures