Because the transformation is a dilation, we conclude that the buildings are not congruent.
Is building B congruent to building A?
You need to remember that if the transformation applied to A is a dilation or a contraction, then the figures will not be congruent.
Where for a point (x, y), a dilation of scale factor k is written as:
(kx, ky).
The vertices of building A are:
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄).
And the vertices of building B are a dilation of the above ones, such that the dilation has a scale factor k = 2.
(2x₁, 2y₁), (2x₂, 2y₂), (2x₃, 2y₃), and (2x₄, 2y₄).
So, because there is a dilation, building B is not congruent to building A.
If you want to learn more about transformations, you can read:
https://brainly.com/question/3457976
