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A basic approach to compose a song is to repeat a sequence of tones again and again. If this is done correctly, the restatement of the sequence of tones will help to make the musical piece easier to remember and more recognizable. Musical restatements are very similar to geometric transformations. A geometric figure like a triangle can be relocated while preserving its size and shape.

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If musical notes are placed at the vertices of the triangle below and the triangle is moved horizontally from position A to position B. What musical notes should be in position B?

Repeat

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In musical application, the notes will repeat accordingly as shown below.

Repreat musical composition

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If the triangle in position I reflects to position II, what is the musical reflection of the notes?

Math Reflection

Estimate the answer:

ans_a.gif (231 bytes) The notes will repeat

Repeat

ans_b.gif (220 bytes) The notes will reflect horizontally.

compB.gif (4548 bytes)

ans_c.gif (227 bytes) The notes will reflect vertically.

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