Question

figure w is the result of a transformation on figure v. which transformation would accomplish this?

Explanation:

Step1: Analyze the transformation type

To determine the transformation from Figure \( V \) to Figure \( W \), we check the properties of translations, rotations, reflections, and dilations. A translation is a rigid transformation that slides a figure without changing its shape, size, or orientation. By observing the positions of corresponding vertices of Figure \( V \) and Figure \( W \), we can see that Figure \( W \) appears to be a horizontal and vertical shift (a translation) of Figure \( V \). The orientation and shape/size remain the same, indicating a translation.

Step2: Confirm the transformation

Since the figure's shape, size, and orientation are preserved, and it has moved (slid) to a new position, the transformation is a translation. Rotation would change the orientation, reflection would flip it, and dilation would change the size. So the transformation is a translation (specifically, a horizontal and vertical shift).

Answer:

A translation (sliding Figure \( V \) to get Figure \( W \))