Question

figure xyz is the result of a transformation on figure uvw. which transformation would accomplish this?

Explanation:

Step1: Analyze the transformation type

To determine the transformation from Figure \( UVW \) to Figure \( XYZ \), we check the horizontal shift. Let's consider the coordinates of corresponding points (e.g., \( W \) to \( Z \), \( U \) to \( X \), \( V \) to \( Y \)).

• For point \( W \) (let's assume \( W \) is at \( (-5, 0) \)) and \( Z \) (at \( (-7, 0) \)): The change in \( x \)-coordinate is \( -7 - (-5) = -2 \), meaning a shift left by 2 units.
• For point \( U \) (e.g., \( (-5, -3) \)) and \( X \) (e.g., \( (-7, -3) \)): Also a shift left by 2 units.
• For point \( V \) (e.g., \( (-3, -2) \)) and \( Y \) (e.g., \( (-5, -2) \)): Shift left by 2 units.

This is a translation (horizontal shift) of 2 units to the left. Alternatively, we can check if it's a reflection (no, since orientation is same), rotation (no, since shape and orientation preserved), so translation. Specifically, a translation 2 units left (or in vector terms, \( (x, y) \to (x - 2, y) \)).

Answer:

A translation 2 units to the left (or equivalent description of horizontal shift left by 2)