Answer:
L’M’ = 4.5 units
Step-by-step explanation:
We start by getting the dilated coordinates
we specifically work with the points LM
The dilated points can be obtained by multiplying the individual coordinates by 1.5
for L (1.5 * -4 and 1.5 * -3) = L’ (-6, -4.5)
M (-4,0) and ; (1.5 * -4 and 0 * 1.5) = M’ (-6,0)
Now, we can use the distance formula
D = √(y2-y1)^2 + (x2-x1)^2
D = √(0+ 4.5)^2 + (-6+6)^2
D = √(4.5)^2
D = 4.5 units