Question

Use the image to answer the question.Two rectangles are drawn on a coordinate plane. Rectangle A B C D is in quadrant 2. Rectangle A prime B prime C prime D prime is in quadrant 1. Identify the degree of rotation in both directions for the pictured rectangle, centered about the point (1,0). Recall that clockwise rotations are denoted with a negative degree. (1 point)The quadrilateral is rotated ° counterclockwise or ° clockwise.

Answer 1

To identify the degree of rotation for Rectangle A B C D to coincide with Rectangle A' B' C' D', centered about the point (1, 0), we need to look at their relative positions and orientations in the coordinate plane.

1. **Quadrant Location**: Rectangle A B C D is in quadrant 2, while Rectangle A' B' C' D' is in quadrant 1. This indicates that they are opposite each other across the y-axis.

2. **Standard Positions**:
- In quadrant 2, the rectangle's vertices would typically have x-coordinates that are negative and positive y-coordinates.
- In quadrant 1, the rectangle's vertices would have positive x and y coordinates.

3. **Rotation Analysis**:
- To rotate from quadrant 2 (where the rectangle is angled in a specific orientation) to quadrant 1, we would need to rotate the figure.
- The transformation indicates a clockwise rotation since we are moving from quadrant 2 to quadrant 1.

4. **Degree of Rotation**:
- The rotation from the positive y-axis towards the positive x-axis can be measured as a 90-degree rotation.
- Since it is moving clockwise, this would be noted as -90 degrees for clockwise rotation.

Therefore, the rectangle is rotated ***90° counterclockwise*** or ***-90° clockwise***.

Please provide any specific degrees if necessary, but typically it would be denoted as **90° counterclockwise or -90° clockwise**.