Question

Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0),
Y'(2, 0), and Z'(2, –2).

Which rules could describe the rotation? Select two options.

R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (y, –x)

Answer 1

R0, 90° and (x, y) → (−y, x).

Reason: A 90° counterclockwise rotation about the origin sends (0, −2) → (2, 0) and (−2, −2) → (2, −2), which matches Y' and Z'. The rule (x,y) → (−y,x) is the algebraic form of that rotation.