You are just beginning your life as an adult and have bought a house in a new housing development. Your house is located at A (2,2), B (4,2), C (4,4), D (3,5), and E (2,4).
A flood moves your house exactly 4 blocks to the left and 2 blocks down.
Plot and state the points of the new location of your house with a different color.
Name the new color you use on your graph here.
Describe specifically the formal transformation that occurred when the flood moved
your house.
Is your new house after this transformation congruent to the original house? Explain
your answer.
The new location of the house after the flood can be plotted with the following points:
A' (-2, 0)
B' (0, 0)
C' (0, 2)
D' (-1, 3)
E' (-2, 2)
The new color used on the graph is blue.
The formal transformation that occurred when the flood moved the house is a translation. The house was moved 4 units to the left and 2 units down from its original position.
No, the new house is not congruent to the original house. Congruence implies that the two figures have the same shape and size, but the new house has been translated, resulting in a different position than the original house.