Question

Figure ABCD is reflected across the x-axis.

Answer 1

The coordinates of A', B', C' and D' are $(2,-3)$, $(5,-5)$ , $(7,-3)$ and $(5,-2)$

Explanation:

The coordinates of ABCD from the graph is given by

A is $(2,3)$, B is $(5,5)$, C is $(7,3)$ and D is $(5,2)$

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

$(x, y) \rightarrow(x,-y)$

Thus, using this rule, we shall determine the coordinates of A', B', C' and D'

$A(2,3) \Rightarrow A^{\prime}(2,-3)$

$B(5,5) \Rightarrow B^{\prime}(5,-5)$

$C(7,3) \Rightarrow C^{\prime}(7,-3)$ and

$D(5,2) \Rightarrow D^{\prime}(5,-2)$

Thus, the coordinates of A', B', C' and D' are $(2,-3)$, $(5,-5)$ , $(7,-3)$ and $(5,-2)$