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(2,3) B(4,3) C(4,5) D(3,6) E92,5) Plot the points where your house is located. A flood moves your house exactly 4 blocks to the left and 2 blocks down. Describe specifically the formal transformation that occurred when the flood moved your house.
The formal transformation that occurred when the flood moved your house can be described as a translation.
Translation is a transformation that involves moving each point of an object a certain distance and direction. In this case, the flood moved your house 4 blocks to the left and 2 blocks down.
We can represent the original points of your house as follows:
A(2, 3), B(4, 3), C(4, 5), D(3, 6), E(2, 5)
Applying the translation, each point is moved 4 units to the left and 2 units down. The new coordinates of the points after the flood are:
A'(-2, 1), B'(0, 1), C'(0, 3), D'(-1, 4), E'(-2, 3)
Therefore, the specific formal transformation that occurred when the flood moved your house is a translation of 4 units to the left and 2 units down.
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 having the same shape and size. In the given transformation, the original house was moved 4 units to the left and 2 units down, resulting in a different arrangement and position of the points.
Therefore, since the positions of the points have changed, the new house is not congruent to the original house.
You have a new neighbor move in across the street from where your house is now located after
the flood. They build the same exact house as you have. Name the coordinates
Since the new house across the street is the same as your original house before the flood, the coordinates of the new neighbor's house would be the same as the original coordinates of your house.
The coordinates of the new neighbor's house after it has been built are:
A(2, 3), B(4, 3), C(4, 5), D(3, 6), E(2, 5)
wrong ill repeat the question.
Since the new house across the street is the same as your original house before the flood, the coordinates of the new neighbor's house would be the same as the original coordinates of your house. Plot and state the points of your neighbor’s house, which is a reflection
of your house in over the x-axis. Name the coordinates.
My apologies for the confusion. If the new neighbor's house is a reflection of my house over the x-axis, the coordinates of the neighbor's house would have the same x-values but the y-values would be multiplied by -1.
Given the original coordinates of my house:
A(2, 3), B(4, 3), C(4, 5), D(3, 6), E(2, 5)
To reflect the house over the x-axis, the new coordinates for the neighbor's house would be:
A(2, -3), B(4, -3), C(4, -5), D(3, -6), E(2, -5)
Therefore, the points of the neighbor's house, which is a reflection of my house over the x-axis, are:
A(2, -3), B(4, -3), C(4, -5), D(3, -6), E(2, -5)
wrong
Apologies for the confusion. Let's correct the answer.
If the new neighbor's house is a reflection of my house over the x-axis, the x-values would remain the same, but the y-values would be multiplied by -1.
Given the original coordinates of my house:
A(2, 3), B(4, 3), C(4, 5), D(3, 6), E(2, 5)
To reflect the house over the x-axis, the new coordinates for the neighbor's house would be:
A(2, -3), B(4, -3), C(4, -5), D(3, -6), E(2, -5)
Therefore, the points of the neighbor's house, which is a reflection of my house over the x-axis, are:
A(2, -3), B(4, -3), C(4, -5), D(3, -6), E(2, -5)