Final answer:
The single transformation that maps shape A to shape B is a dilation with a scale factor of 2, where shape B is twice as tall as shape A in every dimension.
Step-by-step explanation:
When mapping shape A to shape B, we are discussing a type of transformation in geometry. Transformation refers to the movement of figures in a plane. In this context, the transformation that maps shape A to shape B is a geometric transformation where the change in height is mentioned to be proportional to the original height. This means that as shape A transforms into shape B, its height changes in a certain ratio or proportion.
We are informed that the original height of Block B is twice that of Block A, indicating that the transformation involves scaling where Block B is a scale model of Block A. A specific type of scaling called dilation, where figures are enlarged or reduced, is likely the transformation at play here. Given that the change in the height of Block B is twice that of Block A, we can describe the single transformation that maps shape A to shape B as a dilation with a scale factor of 2, showing that shape B is twice as tall as shape A in all dimensions.