Math Problem Statement
Hexagon JKLMNO is rotated 90° clockwise about the origin to produce hexagon J'K'L'M'N'O'. Write the rule for the rotation. (x,y)↦
Solution
When a point is rotated 90° clockwise about the origin, the transformation rule is:
Thus, the rule for the rotation of hexagon JKLMNO to produce J'K'L'M'N'O' is:
Would you like further explanation or clarification?
Here are 5 related questions to explore this concept:
- What would the rule be for a 90° counterclockwise rotation?
- How would you rotate a point 180° about the origin?
- What effect does a 270° clockwise rotation have on coordinates?
- How do you find the new coordinates of a specific vertex after rotation?
- What changes if the hexagon is rotated around a point other than the origin?
Tip: Remember, when rotating points, clockwise and counterclockwise rotations produce different transformations!
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Math Problem Analysis
Mathematical Concepts
Geometry
Rotations
Transformations
Formulas
(x, y) ↦ (y, -x) for 90° clockwise rotation
Theorems
Rotation theorem about the origin
Suitable Grade Level
Grades 8-10