triangle rst was transformed using the rule (x, y)→(-x, -y). the vertices of the triangles are shown. r(1…

triangle rst was transformed using the rule (x, y)→(-x, -y). the vertices of the triangles are shown. r(1, 1) r(-1, -1) s(3, 1) s(-3, -1) t(1, 6) t(-1, -6) 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.

triangle rst was transformed using the rule (x, y)→(-x, -y). the vertices of the triangles are shown. r(1, 1) r(-1, -1) s(3, 1) s(-3, -1) t(1, 6) t(-1, -6) 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.

Answer

Explanation:

Step1: Recall rotation rules

For a 90 - degree rotation about the origin, the rule is $(x,y)\to(-y,x)$. For a 180 - degree rotation about the origin, the rule is $(x,y)\to(-x,-y)$. For a 270 - degree rotation about the origin, the rule is $(x,y)\to(y, - x)$. For a 360 - degree rotation about the origin, the rule is $(x,y)\to(x,y)$.

Step2: Analyze given rule

The given transformation rule is $(x,y)\to(-x,-y)$, which matches the rule for a 180 - degree rotation about the origin.

Answer:

The transformation was a 180° rotation about the origin.