Which of the following rotation operations are involutory? Match the rotation operations that achieve the same outcome.
Understand the Problem
The question is asking to identify which rotation operations are involutory and match different rotation operations that achieve the same outcome. This involves understanding properties of transformations in geometry.
Answer
Involutory: rotate 180°, flip left-right, flip up-down, transpose.
Involutory operations are: rotate 180°, flip left-right, flip up-down, transpose.
Answer for screen readers
Involutory operations are: rotate 180°, flip left-right, flip up-down, transpose.
More Information
An involutory operation is one that brings the object back to its original state when applied twice.
Tips
A common mistake is confusing rotations and flips. Remember, only certain operations bring the matrix back to its initial state upon being applied twice.
Sources
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