A triangle has vertices T 3 comma 7 , U 6 comma negative 6 , and V 5 comma negative 9 The image of the triangle has vertices T double prime 8 comma 1 , U double prime negative 5 comma 4 , and V double prime negative 8 comma 3 Which transformations could have produced the image?

Reflecting across the line y = x swaps each point’s coordinates. Then translating 1 unit right and 2 units down maps T(3, 7) to (7, 3), then to (8, 1), matching T″. It also maps U(6, −6) to (−6, 6), then to (−5, 4), and V(5, −9) to (−9, 5), then to (−8, 3). So the transformation is T₁,₋₂ composed with the reflection across y = x, choice C.

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