Math Problem Statement
Solution
To determine the coordinates of point after rotating point 180° about the origin, we can use the rule for 180° rotation in the coordinate plane. When a point is rotated 180° about the origin, its coordinates become .
Looking at the grid, let's assume the coordinates of point (we'd need to read them from the grid in the image). If, for instance, is at , then would be located at .
Once we identify the coordinates of , 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 , I can provide the exact rotated position. Would you like me to go into more details about the rotation process?
Related Questions:
- What is the rule for rotating points by 90° around the origin?
- How does rotating a point 270° differ from rotating it 90°?
- How would you find the new position of a point after a 360° rotation?
- What changes in coordinates occur when rotating around a point other than the origin?
- How would you apply this to other quadrilaterals like a rectangle?
Tip: For any 180° rotation around the origin, simply negate both coordinates.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Rotation Transformation
Formulas
180° Rotation about the Origin: (x, y) -> (-x, -y)
Theorems
Rotation Theorem
Suitable Grade Level
Grades 8-10