The problem is asking which motion will result in Triangle XYZ completely covering Triangle VTA.

Let's analyze the given transformations:

1. Triangle XYZ appears to be positioned in quadrant I (right side of the y-axis).
2. Triangle VTA is located in quadrant II (left side of the y-axis), but the two triangles are oriented symmetrically around the origin.

Motion:

• A 270-degree clockwise rotation around the origin is equivalent to a 90-degree counterclockwise rotation, effectively moving Triangle XYZ into quadrant II. This rotation aligns Triangle XYZ with Triangle VTA, as both triangles are symmetrical across the y-axis after rotation.

Thus, option D: Rotation 270 degrees clockwise is the correct transformation.

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:

1. What happens to the coordinates of a point after a 270-degree clockwise rotation?
2. How do you determine the center of rotation for any transformation?
3. What is the difference between clockwise and counterclockwise rotations?
4. How can you identify if two shapes are congruent after a transformation?
5. What are the common types of geometric transformations, and how do they affect shapes?

Tip: When rotating a shape 270 degrees clockwise, every point moves as if it was rotated 90 degrees counterclockwise.