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Which of the following perspective changes are allowed by a rigid transformation?0.8 / 1 pointtranslationrotationCorrectYes, a rigid transformation allows for changes in rotation.scalesheartilt

Question

Which of the following perspective changes are allowed by a rigid transformation?0.8 / 1 pointtranslationrotationCorrectYes, a rigid transformation allows for changes in rotation.scalesheartilt

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Solution

A rigid transformation, also known as an isometry, allows for changes in position and orientation while preserving the shape and size of the object. Therefore, the following perspective changes are allowed by a rigid transformation:

  1. Translation: This involves moving the object without changing its shape or orientation. In other words, every point of the object is moved the same distance in the same direction.

  2. Rotation: This involves turning the object around a fixed point, known as the center of rotation. The shape and size of the object remain unchanged.

However, a rigid transformation does not allow for changes in scale, shear, or tilt. These transformations alter the shape or size of the object, which is not permitted in a rigid transformation.

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