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), and E (2, 4). Apply a scale factor of 2 and plot you new house. Hint dilation rule (x,y) ---> {2x, 2y}
To make the new house twice as big as the original house, we will need to apply a scale factor of 2 to each coordinate. Applying the dilation rule (x,y) ---> {2x, 2y}, the new coordinates will become:
A' (2 * 2, 2 * 2) = A' (4, 4)
B' (4 * 2, 2 * 2) = B' (8, 4)
C' (4 * 2, 4 * 2) = C' (8, 8)
D' (3 * 2, 5 * 2) = D' (6, 10)
E' (2 * 2, 4 * 2) = E' (4, 8)
Now we can plot the new house using these coordinates:
A' (4, 4)
E' (4, 8)
B' (8, 4)
D' (6, 10)
C' (8, 8)