Question

If (0,3) translates to (-3,-2) then (2,5) translates to what?

Answer 1

If (0,3) translates to (-3,-2) then (2,5) translates to what?

Answer:

In Euclidean geometry, a translation is a function that moves every point a constant distance in a specified direction.

A translation is the operation changing the positions of all points $(x, y, z)$ of an object according to the formula

$$(x, y, z) \rightarrow (x + dx, y + dy, z + dz)$$

So, in given case:

$$(0,3) \rightarrow (-3,-2)$$

Thus:

$$dx = -3 - 0 = -3$$

and

$$dy = -2 - 3 = -5$$

Thus:

$$(2,5) \rightarrow (2 - 3, 5 - 5) = (-1,0)$$

Answer: (-1,0)