Question

The point Al-2, 3) is translated using T: (x,y) → (x+4, y+2).

What is the distance from A to A'?
022
OVG
05
02/5

Answer 1

The distance between A and A' is:

`distance=√(20)`

Explanation:

Notice that point A' after the given translation becomes: (-2+4, 3+2) = (2, 5),

So one can calculate the distance between A (-2, 3) and A' (2, 5) using the distance formula:

`distance=√((x_2-x_1)^2+(y_2-y_1)^2)\\distance=√((2-(-2))^2+(5-3)^2) \\distance=√((4))^2+(2)^2) \\distance=√((16+4) \\distance=√(20)`