Final answer:
Building B is not congruent to Building A but is possibly a scaled version of Building A. Congruence requires identical size and shape, and Building B's vertices suggest it is a uniform scaling of Building A.
Step-by-step explanation:
The question asks us to evaluate whether Building B is congruent to Building A given that the vertices of Building B are at (2x1, 2y1), (2x2, 2y2), (2x3, 2y3), and (2x4, 2y4). Congruence in geometry means that all corresponding angles and sides are equal in measurement. To assess congruence, we would typically look for congruent corresponding angles and sides that match in length between the two buildings. However, the information given does not specify the actual measurements of Building A or B, but gives a hint that since the vertices of Building B are twice those of some original coordinates, Building B might be a scaled version of Building A. From statement (c), we understand that there is a proportional relationship, as the change in height of Block B is twice that of A, hinting that Building B is indeed scaled up from Building A.
If Building A has vertices at (x1, y1), (x2, y2), (x3, y3), and (x4, y4), then doubling both coordinates for Building B's vertices suggests a uniform scaling—meaning the shape and angles remain the same while the size changes. Thus, while Building B and Building A may look alike (are similar), they are not congruent, as congruence requires both shape and size to be identical.