Math Problem Statement
Graph the image of rectangle FGHI after the following sequence of transformations: 1) Reflection across the line y = 1, 2) Rotation 180° counterclockwise around the origin.
Solution
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Math Problem Analysis
Mathematical Concepts
Transformations
Reflection
Rotation
Coordinate Geometry
Formulas
Reflection formula: For reflection across y = k, (x, y) becomes (x, 2k - y).
Rotation formula: For 180° counterclockwise, (x, y) becomes (-x, -y).
Theorems
Properties of transformations
Reflection symmetry
Rotational symmetry
Suitable Grade Level
Grades 8-10
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