Asked by jay
Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime.
Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
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Answered by
GPT-5 mini
AI
The composition is a single reflection: reflect across the line through Q that is perpendicular to l.
Reason: a 180° rotation about Q sends each vector v (from Q) to −v, and then reflecting −v across l gives the same result as reflecting v across the line through Q perpendicular to l.
Reason: a 180° rotation about Q sends each vector v (from Q) to −v, and then reflecting −v across l gives the same result as reflecting v across the line through Q perpendicular to l.
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