Question

triangle abc was transformed using the rule (x,y)→( - y,x). the vertices of the triangles are shown. a(-1,1) a(-1,-1) b(1,1) b(-1,1) c(1,4) c(-4,1) which best describes the transformation? the transformation was a 90° rotation about the origin. the transformation was a 180° rotation about the origin. the transformation was a 270° rotation about the origin. the transformation was a 360° rotation about the origin.

Explanation:

Step1: Recall rotation rules

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Check given transformation

The given transformation rule is $(x,y)\to(-y,x)$ and it is applied to triangle ABC to get A', B', C'.

Answer:

The transformation was a 90° rotation about the origin.