Answer:
4.47 units (rounded to 2 decimal places)
Step-by-step explanation:
According to translation T, the points for A' would be:
(-2,3) ----------- (-2+4,3+2) = (2,5)
Hence,
A'(2,5) and A (-2,3)
We find the distance using distance formula:
[tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Where
x1 = 2,
x2= -2
y1 = 5
y2 = 3
Putting these, we find the distance, D:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\D=\sqrt{(3-5)^2+(-2-2)^2} \\D=\sqrt{(-2)^2 + (-4)^2} \\D=\sqrt{4+16} \\D=\sqrt{20}\\ D=4.47[/tex]
The distance is 4.47 units (rounded to 2 decimal places)
