Triangle XYZ with vertices X(5, 4), Y(3, -1) and Z(0, 2) is translated so that X’ is at (3, 1). Choose the coordinates of Y’ and Z’.

To move X(5, 4) to X′(3, 1), translate every point by (3 − 5, 1 − 4) = (−2, −3). Apply this same shift to Y(3, −1) and Z(0, 2): Y′ = (1, −4) and Z′ = (−2, −1). These coordinates match choice c.

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