Chef Carson had a moveable cart in his kitchen. A top view of the cart's location within the kitchen is shown on the grid below. Cart Chef Carson rotated the cart to move it next to his vegetable baskets. On the grid, this would be represented by a 90° counterclockwise rotation of the figure around Point R. Which coordinates best describe the location of Point Q after this rotation? O (8,6) O (8, -6) O (2,0) O (0,2)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Title: Understanding Rotations on a Coordinate Plane**

**Scenario:**

Chef Carson had a moveable cart in his kitchen. The top view of the cart’s location within the kitchen is shown on the grid below.

**Diagram Explanation:**

- The grid is a standard coordinate plane with x and y axes.
- The cart is represented as a shaded L-shaped figure located in the positive quadrant of the grid.
- Two points are marked on the figure: Point \( Q \) and Point \( R \). 
- Point \( R \) is identified on the grid as the center of rotation.

**Problem Statement:**

Chef Carson rotated the cart to move it next to his vegetable baskets. On the grid, this would be represented by a 90° counterclockwise rotation of the figure around Point \( R \). Which coordinates best describe the location of Point \( Q \) after this rotation?

**Options:**

- \( (8, 6) \)
- \( (8, -6) \)
- \( (2, 0) \)
- \( (0, 2) \)
Transcribed Image Text:**Title: Understanding Rotations on a Coordinate Plane** **Scenario:** Chef Carson had a moveable cart in his kitchen. The top view of the cart’s location within the kitchen is shown on the grid below. **Diagram Explanation:** - The grid is a standard coordinate plane with x and y axes. - The cart is represented as a shaded L-shaped figure located in the positive quadrant of the grid. - Two points are marked on the figure: Point \( Q \) and Point \( R \). - Point \( R \) is identified on the grid as the center of rotation. **Problem Statement:** Chef Carson rotated the cart to move it next to his vegetable baskets. On the grid, this would be represented by a 90° counterclockwise rotation of the figure around Point \( R \). Which coordinates best describe the location of Point \( Q \) after this rotation? **Options:** - \( (8, 6) \) - \( (8, -6) \) - \( (2, 0) \) - \( (0, 2) \)
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