Question

What would happen to shape EJRS when rotated 180 degrees

Answer 1

`\begin{gathered} \text{If we rotate a point (x,y) by a degree of }\theta\text{ , the new point have coodinates} \\ (x\cdot\cos (\theta)-y\cdot\sin (\theta),x\cdot\sin (\theta)+y\cdot\cos (\theta)) \end{gathered}`
`\begin{gathered} And\text{ , having in account that} \\ \cos (90º)=0,\sin (90º)=1, \\ \text{ The rotation of a point (x,y) by a degr}e\text{ of }\theta\text{ is} \\ (-y,x) \end{gathered}`
`\begin{gathered} So,\text{ If E' is the rotation of E, and similary with J, R and S, } \\ E^(\prime)=(2,2) \\ J^(\prime)=(-2,1) \\ R=(-3,3) \\ S=(-2,5) \\ \\ \end{gathered}`