The area of the figure changes when two of the triangles are moved to create a different shape.
A) The square is made up of 4 congruent right triangles and one small square.
B) Moving two of the triangles changes the figure’s shape, but not its area.
C) This figure is made up of two squares, one with an area of a², and one with an area of b².
The correct answer is B) Moving two of the triangles changes the figure’s shape, but not its area.
Explanation: When you rearrange the triangles, you are only changing their positions within the same overall area defined by the original shape. The area remains constant because the total space occupied by the triangles does not change; they are simply being repositioned. Therefore, even though the shape looks different, the area remains the same.