Answer:
The vertices of triangle after reflation across x-axis are (1,3), (3,2), (4,5).
The vertices of triangle after reflation across y-axis are (-1,-3), (-3,-2), (-4,-5).
The vertices of triangle after reflation across y=x are (-3,1), (-2,3), (-5,4).
Step-by-step explanation:
From the given figure it is clear that the vertices of triangle are (1,-3), (3,-2), (4,-5).
If a figure reflected over the x-axis, then
[tex](x,y)\rightarrow (x,-y)[/tex]
[tex](1,-3)\rightarrow (1,3)[/tex]
[tex](3,-2)\rightarrow (3,2)[/tex]
[tex](4,-5)\rightarrow (4,5)[/tex]
The vertices of triangle after reflation across x-axis are (1,3), (3,2), (4,5).
If a figure reflected over the y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
[tex](1,-3)\rightarrow (-1,-3)[/tex]
[tex](3,-2)\rightarrow (-3,-2)[/tex]
[tex](4,-5)\rightarrow (-4,-5)[/tex]
The vertices of triangle after reflation across y-axis are (-1,-3), (-3,-2), (-4,-5).
If a figure reflected over the y=x, then
[tex](x,y)\rightarrow (y,x)[/tex]
[tex](1,-3)\rightarrow (-3,1)[/tex]
[tex](3,-2)\rightarrow (-2,3)[/tex]
[tex](4,-5)\rightarrow (-5,4)[/tex]
The vertices of triangle after reflation across y=x are (-3,1), (-2,3), (-5,4).
