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…

Question

asked Mar 7, 2021 96.2k views

1 Answer

Eastern · Answer 1 · 2021-03-12T03:24:20+0000

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)