https://file.aiquickdraw.com/mathbot/file/1728984098245tebggfpr.jpg

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.

Write the coordinates of the vertices after a rotation 90° clockwise around the origin.

Learn how to apply a 90° clockwise rotation to coordinates on a graph. This problem demonstrates how to rotate points A, B, C, and D around the origin, using the transformation formula (x, y) → (y, -x). Suitable for students in Grades 8-10.

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