Answer:
The coordinates of image are A'(1,1), B'(2,-1), C'(3,0) and D'(2,1).
Step-by-step explanation:
It is given that the vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1).
If a figure is reflected across the x-axis, then according to the rule of reflection
[tex](x,y)\rightarrow (x,-y)[/tex]
After that the figure it translated 2 units up to form polygon A′B′C′D′. According to the rule of translation
[tex](x,y)\rightarrow (x,-y+2)[/tex]
The coordinates of image are
[tex]A(1,1)\rightarrow A'(1,-1+2)=A'(1,1)[/tex]
[tex]B(2,3)\rightarrow B'(2,-3+2)=B'(2,-1)[/tex]
[tex]C(3,2)\rightarrow C'(3,-2+2)=C'(3,0)[/tex]
[tex]D(2,1)\rightarrow D'(2,-1+2)=D'(2,1)[/tex]
Therefore the coordinates of image are A'(1,1), B'(2,-1), C'(3,0) and D'(2,1).
