The transformation applied to quadrilateral A to obtain quadrilateral B is a translation, involving an 8-unit rightward shift and a 1-unit upward shift for each vertex.
To determine the single transformation applied to quadrilateral A to obtain quadrilateral B, we can analyze the corresponding vertices' changes. Comparing the coordinates, we observe a translation, specifically a horizontal shift to the right and a vertical shift upwards.
The transformation involves adding a certain value to the x-coordinates and another value to the y-coordinates. Let's calculate these shifts by subtracting the corresponding coordinates of A and B:
Horizontal shift (Δx) = 11 - 3 = 8
Vertical shift (Δy) = 4 - 3 = 1
Therefore, the transformation applied is a translation of 8 units to the right and 1 unit upward.
In summary, quadrilateral B is obtained from quadrilateral A through a translation. The shift involves moving each point 8 units to the right and 1 unit upward.