Math Problem Statement
Solution
To solve this problem, we need to understand how to apply a 180° rotation about the origin to the given point on the graph.
Step-by-step process:
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Locate the initial coordinates of point A: From the graph, point A appears to be at the coordinates (3, 5).
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Apply the 180° rotation rule:
- When rotating a point 180° around the origin, the coordinates are transformed into .
So, the new coordinates of will be:
Conclusion:
The correct coordinate of after a 180° rotation is (-3, -5).
Do you want more details or have any questions?
Here are 5 related questions to expand on this topic:
- What is the rule for rotating a point 90° counterclockwise about the origin?
- How does the coordinate transformation change for a 270° rotation?
- How do you reflect a point over the x-axis, and what is the resulting coordinate?
- Can you explain how translations differ from rotations in geometry?
- What is the effect of a 360° rotation on any given point?
Tip: When rotating a figure, always pay attention to whether the rotation is clockwise or counterclockwise, as this will affect how the coordinates are transformed!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Transformations
Rotation
Formulas
(x, y) -> (-x, -y) for 180° rotation
Theorems
Rotation theorem
Suitable Grade Level
Grades 7-9