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1 October, 06:09

Which rule is an example of rigid transformation? 1. (x, 3y) 2. (2x, y+2) 3. (x-1, y-3) 4. (3x, y)

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  1. 1 October, 06:36
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    We know that

    Rigid transformation:

    A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

    Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"

    so, it's length must be preserved

    now, we will check each option

    option-A:

    we have (x, 3y)

    y-value changes but x-value will remain same

    It changes length

    so, this is not rigid transformation

    option-B:

    we have (3x, y)

    x-value changes but y-value will remain same

    It changes length

    so, this is not rigid transformation

    option-C:

    (2x, y+2)

    It changes length of x-value

    but it is only shifting y-value

    so, it changes length

    so, this is not rigid transformation

    option-D:

    Both shifts values

    but it's length will always be same

    so, this is rigid transformation ... Answer
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