Question
Design a program that performs continuous rotation of a hexagon about an arbitrary point (x₀, y₀).
b) Show that reflection about the line y = mx can be achieved by a sequence of rotation, reflection, and inverse rotation operations.
Answer :
Word Count : 382
To perform continuous rotation of a hexagon about an arbitrary point ((x_0, y_0)), the following steps and algorithm can be used: 1. Translate the hexagon so that the rotation point coincides with the origin: For each vertex ((x, y)) of the hexagon, apply translation: [ x' = x - x_0, \quad y' = y - y_0 ] 2. Apply rotation about the origin: ___ _________ _____ ____ ______ _____ ___ _________ ______.
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To perform continuous rotation of a hexagon about an arbitrary point ((x_0, y_0)), the following steps and algorithm can be used: 1. Translate the hexagon so that the rotation point coincides with the origin: For each vertex ((x, y)) of the hexagon, apply translation: [ x' = x - x_0, \quad y' = y - y_0 ] 2. Apply rotation about the origin: ___ _________ _____ ____ ______ _____ ___ _________ ______.
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