Final answer:
If the transformation T is isometric and the distance between points P and Q is 2, then the distance between the transformed points T(P) and T(Q) will also be 2.
Step-by-step explanation:
d(T(PQ)) = 2
If the transformation T is isometric, it means that the distance between any two points remains the same after the transformation. So, if d(PQ) = 2, then d(T(PQ)) will also be 2.
To understand this, let's consider an example. Suppose P is the point (1,1) and Q is the point (3,1) in a coordinate system. If we apply an isometric transformation T to these points, the transformed points T(P) and T(Q) will be (1,1) and (3,1) respectively. The distance between T(P) and T(Q) is still 2 units.