Which of the following coordinate transformations will leave the numerical value of…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Which of the following coordinate transformations will leave the numerical value of the area of every triangle unchanged? (a)

(y,\,2x)

(b)

(x,y)\mapsto(x+2,\,y-3)

(c)

\bigl(\tfrac12x,\,y\bigr)

(d)

(3x,\;3y)