Question

On a coordinate plane, 2 triangles are shown. The first triangle has points S (3, 5), R (5, 0), and Q (1, 0). The second triangle has points S prime (negative 3, 0), R prime (negative 5, 0), and Q prime (negative 1, 0).
Which rule represents R0, 180°?

(x, y) → (–y, x)
(x, y) → (–x, –y)
(x, y) → (y, –x)
(x, y) → (y, x)

Answer 1

(x, y) → (–x, –y)

A 180° rotation about the origin sends (x,y) to (−x,−y). For example R(5,0) → R'(−5,0) and Q(1,0) → Q'(−1,0).