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.
Where is the points now
After moving 4 blocks to the left and 2 blocks down, the new coordinates of the points are:
A: (2-4, 2-2) = (-2, 0)
B: (4-4, 2-2) = (0, 0)
C: (4-4, 4-2) = (0, 2)
D: (3-4, 5-2) = (-1, 3)
E: (2-4, 4-2) = (-2, 2)
So, the new locations of the points are A (-2,0), B (0,0), C (0,2), D (-1,3), and E (-2,2).
Question 3
Describe specifically the formal transformation (write the translation using arrow notation (x +/- ?, y +/- ? ) that occurred when the flood moved your house.
Question 4 Is your new house after this transformation congruent to the original house? Explain your answer
The formal transformation that occurred when the flood moved the house can be described using arrow notation as a translation of (-4, -2) units. This means that every point of the original house was shifted 4 units to the left and 2 units down.
Regarding question 4, the new house after this transformation is NOT congruent to the original house. Congruent means that two shapes are identical in shape and size. In this case, the translation has changed the position of each point in the house, resulting in a new configuration that is not identical to the original.
You have become an internet sensation after your video received over 5 million views in one week. This made you 1 million dollars. You call a builder and ask them to build you a house twice the size of your current house.
Question 5
Plot the points of the new house after a scale factor of 2 with the given coordinates. (This is a transformation called dilation.) Use a different color to plot the points. Name the color you use on your graph here. The new coordinates of your house after the scale factor is applied are?? (x,y) (x,y) (x,y) (x,y) (x,y)
To plot the points of the new house after a scale factor of 2, we need to multiply the coordinates of each point by 2. Let's name the color for the new points as blue.
A (2,2) x 2 = (4,4)
B (4,2) x 2 = (8,4)
C (4,4) x 2 = (8,8)
D (3,5) x 2 = (6,10)
E (2,4) x 2 = (4,8)
The new coordinates of the house, after the scale factor of 2, are:
A (4,4)
B (8,4)
C (8,8)
D (6,10)
E (4,8)
On the graph, plot these new points in blue color.