Describe specifically the formal transformation that occurred when the flood moved
your house. A flood moves your house exactly 4 blocks to the left and 2 blocks down
The formal transformation that occurred when the flood moved your house can be described as a translation. In this case, the translation involves moving your house 4 blocks to the left and 2 blocks down.
A translation is a geometric transformation that shifts every point of the object in a specific direction by a certain distance. In this scenario, the flood caused your house to be displaced horizontally by moving it 4 blocks to the left. This means that every point of your house, including its walls, doors, windows, and structure, shifted to the left by 4 blocks.
Additionally, the flood also caused your house to be displaced vertically by moving it 2 blocks down. This means that every point of your house shifted downward by 2 blocks.
Overall, the translation caused by the flood resulted in your house's position being shifted 4 blocks to the left and 2 blocks down from its original location.
Is your new house after this transformation congruent to the original house? Explain
your answer.
No, the new house after this transformation is not congruent to the original house.
Congruence refers to the state of two objects having the same shape and size, with the only difference being their position or orientation in space. In this case, the translation caused by the flood moved your house 4 blocks to the left and 2 blocks down from its original position. As a result, the new house has a different position and orientation relative to the original house.
While the overall shape and size of the house remain the same, the transformation alters its position, which means the two houses are not congruent. Congruent objects can be superimposed on each other perfectly, but in this case, the new house would have to be physically moved and rotated to align with the original house's position before the flood.
Therefore, we can conclude that the new house after this transformation is not congruent to the original house.