Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.
Correct an error in a transformed image point
Problem
A student claims that translating \((2,1)\) right \(4~\text{units}\) gives \((-2,1)\). Analyze the claim by stating the rule, identifying the error, finding the correct image, and verifying the result.
To diagnose a transformation error, return to the original point and write the direction rule before touching the arithmetic. We’ll translate the stated motion into a signed coordinate change, apply it independently to each coordinate, and compare that result with the student’s claim to pinpoint the exact operation error.
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