Point A lies on (5, -4).
Given that,
If triangle ABC is rotated 180 degrees, reflected over the y-axis, and reflected over the X-axis,
We have to determine,
Where will point A lie?
According to the question,
When rotating a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.
Then, the points after rotation are (-5, -4).
When the reflection about the y-axis, (5,4) becomes (-5, 4).
Reflect again about the x-axis, (-5, 4) becomes (5,-4).
Hence, point A lies on (5, -4).
To know more about Reflection click the link given below.
https://brainly.com/question/203782