Triangle abc was transformed using the rule (x, y) → (–y, x). the vertices of the triangles are shown. a (–1, 1) b (1, 1) c (1, 4) a' (–1, –1) b' (–1, 1) c' (–4, 1)

which best describes the transformation?
a transformation was 90 rotation
b transformation was 180 rotation
c transformation was 270 rotation
d transformation was 360 rotation

A Transformation was 90 rotation.

Step-by-step explanation:

Given : The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4)A' (–1, –1) B' (–1, 1) C' (–4, 1)

To find : Which best describes the transformation?

Solution : We have given a triangle ABC that is transformed using

(x, y) → (–y, x).

By the transformation rotation rule  :

Rotation about the origin at 90◦ :  (x, y) →→→ (−y, x)

We can see      A (–1, 1)→→→ A'(-1,-1,)

                         B (1, 1)→→→ B'(-1, 1,)

                          C (1, 4)→→→ C'(-4, 1,).

Therefore, A Transformation was 90 rotation.