Question

Figure ABCD is reflected across the x-axis.

What are the coordinates of A' , B' , C' , and D' ?

Enter your answer in each box.

A' (​ , )
B' ( , )
C ( , )
D ( , )

Answer 1

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

Step-by-step 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)`