Question

Right △ABC has coordinates A(-7, 3), B(-7, 10), and C(-1, 3). The triangle is reflected over the x-axis and then reflected again over the y-axis to create △A'B'C'. Which are the coordinates of vertex A'?

Answer 1

Making a sketch will certainly help you to understand the question

I will use point B(-7,10) to illustrate

reflection over the x-axis: (-7,10) ----> (-7,-10)
reflection of this new point over the y-axis: (-7,-10) ----> (7,-10)

So in effect the two transformation have resulted in a reflection in the origin, that is
(x,y) ----> (-x,-y) , (the signs have reversed)

Now apply this to point A.

Answer 2

A= (7, -3)