you are making plans for a larger home you are giving the builder instructions you tell him that you want your new house to be twice as big as your original house with coordinates A 2,2 B 4,2 C 4,4 D 3,5 E 2,4 apply a scale factor of 2 and plot your new house hint dilation rule x,y = 2x, 2y
To make the new house twice as big as the original house, we can apply a scale factor of 2 to all the coordinates of the original house.
Using the dilation rule x,y = 2x, 2y, we can apply this rule to each coordinate:
A (2,2) => (2*2, 2*2) => (4,4)
B (4,2) => (2*4, 2*2) => (8,4)
C (4,4) => (2*4, 2*4) => (8,8)
D (3,5) => (2*3, 2*5) => (6,10)
E (2,4) => (2*2, 2*4) => (4,8)
The new house coordinates with the applied scale factor of 2 are:
A'(4,4), B'(8,4), C'(8,8), D'(6,10), E'(4,8)
Now, we can plot these new coordinates to visually represent the larger house.