Question

Fine the coordinates of the vertices of each figure after the given transformation Reflection across y=2 J(1,3) U(0,5) R(1,5) C(3,2)

Answer 1

Recall that a reflection over a line y=k transforms the point (a,b) into the point (a,2y-b), therefore:

`\begin{gathered} J^(\prime)(1,2\cdot2-3)=J^(\prime)(1,4-3)=J^(\prime)(1,1)\text{.} \\ U^(\prime)(0,2\cdot2-5)=U^(\prime)(0,4-5)=U^(\prime)(0,-1)\text{.} \\ R^(\prime)(1,2\cdot2-5)=R^(\prime)(1,4-5)=R^(\prime)(1,-1)\text{.} \\ C^(\prime)(3,2\cdot2-2)=C^(\prime)(3,4-2)=C^(\prime)(3,2)\text{.} \end{gathered}`

Answer: J'(1,1), U'(0,-1), R'(1,-1), C'(3,2).