https://file.aiquickdraw.com/mathbot/file/1730905404592zfjj4q0h.jpg

To determine the coordinates of point \( A' \) after rotating point \( A \) 180° about the origin, we can use the rule for 180° rotation in the coordinate plane. When a point \((x, y)\) is rotated 180° about the origin, its coordinates become \((-x, -y)\).

Looking at the grid, let's assume the coordinates of point \( A \) (we'd need to read them from the grid in the image). If, for instance, \( A \) is at \((x, y)\), then \( A' \) would be located at \((-x, -y)\).

Once we identify the coordinates of \( A \), we can find the correct answer among the given options:

- (-5, 3)
- (-3, -5)
- (-5, 5)
- (-3, 3)

If you can specify the initial coordinates of point \( A \), I can provide the exact rotated position. Would you like me to go into more details about the rotation process?

### Related Questions:
1. What is the rule for rotating points by 90° around the origin?
2. How does rotating a point 270° differ from rotating it 90°?
3. How would you find the new position of a point after a 360° rotation?
4. What changes in coordinates occur when rotating around a point other than the origin?
5. How would you apply this to other quadrilaterals like a rectangle?

**Tip:** For any 180° rotation around the origin, simply negate both coordinates.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

Understand how to calculate the new coordinates of point A after a 180° rotation around the origin in a coordinate plane. This problem demonstrates the application of rotation transformations in coordinate geometry, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation