The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?A'(1, -5)B'(-3, -4)C'(-1, -2)D'(1, 3)
Accepted Solution
A:
Answer:[tex]A'(1,-5)[/tex]Step-by-step explanation:The coordinates of the given quadrilaterals are[tex]A(-5,1),B(-4,3),C(-2,1),D(-3,-1)[/tex] The reflection in the line [tex]y=x[/tex] has the mapping,[tex](x,y)\rightarrow(y,x)[/tex] We just have to swap the coordinates. This implies that, [tex]A(-5,1)\rightarrow A'(1,-5)[/tex] [tex]B(-4,3)\rightarrow B'(3,-4)[/tex] [tex]C(-2,1)\rightarrow C'(1,-2)[/tex] [tex]D(-3,-1)\rightarrow D'(-1,-3)[/tex] Therefore the correct answer is A.[tex]A'(1,-5)[/tex]