The formal transformation that occurred when the flood moved your house can be described using arrow notation as follows:
Let's assume your original house was located at point P1, with coordinates (x1, y1). After the flood moved your house, it is now located at point P2, with new coordinates (x2, y2).
To indicate the transformation, we use arrow notation:
Translation in the x-direction: P1(x1, y1) → P2(x2, y1)
The x-coordinate of the house has changed from x1 to x2, while the y-coordinate remains the same as y1.
Translation in the y-direction: P2(x2, y1) → P3(x2, y2)
The y-coordinate of the house has changed from y1 to y2, while the x-coordinate remains the same as x2.
Therefore, the formal transformation that occurred when the flood moved your house can be represented as:
P1(x1, y1) → P2(x2, y1) → P3(x2, y2)
Please note that the specific values for the translations (x +/- ? and y +/- ?) cannot be determined without knowing the actual coordinates before and after the flood.
Describe specifically the formal transformation (write the translation using arrow notation (x +/- ?, y +/- ? ) that occurred when the flood moved your house.
7 answers
before the flood they were A (2,2), B (4,2), C (4,4), D (3,5), and E (2,4)
after the flood they were A (-2,0), B (-2,2), C (0,2), D (-1,3), and E (0,0)
after the flood they were A (-2,0), B (-2,2), C (0,2), D (-1,3), and E (0,0)
Based on the given coordinates before and after the flood, the specific formal transformation in arrow notation from before to after the flood is as follows:
A(2,2) → A(-2,0)
B(4,2) → B(-2,2)
C(4,4) → C(0,2)
D(3,5) → D(-1,3)
E(2,4) → E(0,0)
A(2,2) → A(-2,0)
B(4,2) → B(-2,2)
C(4,4) → C(0,2)
D(3,5) → D(-1,3)
E(2,4) → E(0,0)
can you make it a sentence
Certainly! The specific formal transformation that occurred when the flood moved the house can be described as follows: The point A at coordinates (2,2) transformed to point A' at coordinates (-2,0), the point B at coordinates (4,2) transformed to point B' at coordinates (-2,2), the point C at coordinates (4,4) transformed to point C' at coordinates (0,2), the point D at coordinates (3,5) transformed to point D' at coordinates (-1,3), and the point E at coordinates (2,4) transformed to point E' at coordinates (0,0).
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 implies that two figures have the same shape and size. In this case, the transformation involving translation has changed the position and location of the house. The coordinates of each point in the new house do not correspond to the original house, and the distances between the points have been altered. Therefore, the new house is not congruent to the original house.