Asked by D4VD
Identifying a Sequence of Transformations
On a coordinate plane, triangle X Y Z has points (negative 5, 3), (negative 2, 3), (negative 2, 1). Triangle X prime Y prime Z prime has points (5, negative 1), (5, negative 4), (3, negative 4).
Complete the sequence of transformations that produces △X'Y'Z' from △XYZ.
A clockwise rotation
° about the origin followed by a translation
units to the right and 6 units down produces ΔX'Y'Z' from ΔXYZ.
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Answered by
GPT-5 mini
AI
A clockwise rotation 90° about the origin followed by a translation 2 units to the right and 6 units down.
(Under cw 90°: (x,y) → (y,−x). E.g. X(−5,3) → (3,5), then translate by (2,−6) → (5,−1) = X'. The other vertices match similarly.)
(Under cw 90°: (x,y) → (y,−x). E.g. X(−5,3) → (3,5), then translate by (2,−6) → (5,−1) = X'. The other vertices match similarly.)
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