Answer:
A'(-1,-4)
B'(-5,-8)
C'(-5,-4)
D'(-4,-2)
Step-by-step explanation:
We have been given a graph of a quadrilateral and we are asked to find the coordinates of our quadrilateral after reflecting it across the x-axis.
We can see that coordinates of quadrilateral ABCD are:
A (-1,4),
B (-5,8),
C (-5,4),
D (-4,2).
Since we know that rule for reflecting an image across x-axis is [tex](a,b)\rightarrow (a,-b)[/tex]. This means that y-coordinates of our given image will be negative.
So after reflecting our given quadrilateral across x-axis, coordinates will be:
[tex]A(-1,4)\rightarrow A'(-1,-4)[/tex]
[tex]B(-5,8)\rightarrow B'(-5,-8)[/tex]
[tex]C(-5,4)\rightarrow C'(-5,-4)[/tex]
[tex]D(-4,2)\rightarrow D'(-4,-2)[/tex]