The coordinates of A', B', C' and D' are [tex](2,-3)[/tex], [tex](5,-5)[/tex] , [tex](7,-3)[/tex] and [tex](5,-2)[/tex]
Explanation:
The coordinates of ABCD from the graph is given by
A is [tex](2,3)[/tex], B is [tex](5,5)[/tex], C is [tex](7,3)[/tex] and D is [tex](5,2)[/tex]
The figure ABCD is reflected across the x - axis.
We need to determine the coordinates of A', B', C' and D' after it is reflected across the x - axis.
Since, we know that the rule to reflect across the x - axis is given by
[tex](x, y) \rightarrow(x,-y)[/tex]
Thus, using this rule, we shall determine the coordinates of A', B', C' and D'
[tex]A(2,3) \Rightarrow A^{\prime}(2,-3)[/tex]
[tex]B(5,5) \Rightarrow B^{\prime}(5,-5)[/tex]
[tex]C(7,3) \Rightarrow C^{\prime}(7,-3)[/tex] and
[tex]D(5,2) \Rightarrow D^{\prime}(5,-2)[/tex]
Thus, the coordinates of A', B', C' and D' are [tex](2,-3)[/tex], [tex](5,-5)[/tex] , [tex](7,-3)[/tex] and [tex](5,-2)[/tex]
