The problem is asking for the coordinates of the vertices of a shape after a 90° clockwise rotation around the origin. Let’s identify the original coordinates of the vertices $A, B, C, D$ and apply the rotation.

The original coordinates from the image are approximately:

• $A = (2, 1)$
• $B = (2, 7)$
• $C = (8, 7)$
• $D = (8, 1)$

The rule for rotating a point $(x, y)$ 90° clockwise around the origin is: $(x, y) \rightarrow (y, -x)$

Applying this rule to each vertex:

• $A = (2, 1) \rightarrow A' = (1, -2)$
• $B = (2, 7) \rightarrow B' = (7, -2)$
• $C = (8, 7) \rightarrow C' = (7, -8)$
• $D = (8, 1) \rightarrow D' = (1, -8)$

The new coordinates after the 90° clockwise rotation are:

• $A' = (1, -2)$
• $B' = (7, -2)$
• $C' = (7, -8)$
• $D' = (1, -8)$

Would you like further details on this rotation process or have any other questions?

Here are five related questions to expand on this topic:

1. What are the coordinates after a 90° counterclockwise rotation around the origin?
2. How do you find coordinates after a 180° rotation around the origin?
3. What happens to the coordinates after reflecting over the x-axis?
4. How does a reflection over the y-axis affect the coordinates?
5. Can you explain how to perform a dilation with respect to the origin?

Tip: When rotating points on the coordinate plane, it's helpful to visualize or draw the new positions to confirm their accuracy.