The coordinate of vertex A' of Square PAST which is reflected about the x - axis and again reflected over the line y =-x is (2,4).
What is reflection?
The reflection of a plane or shape is flipping the original figure with respect to a reference line.
Following steps are used to for reflecting a shape-
- Select the shape which has to be reflected.
- Select a base line or reference line over which the shape has to be reflected.
- Mark the corners of the shape at the equidistant from the reference line as the original shape has, but in the opposite direction.
- The reflected shape is now is facing the opposite direction.
Square PAST has vertex A at (- 4, 2). PAST is reflected about the x-axis. The rule for reflection over x-axis is,
[tex](x,y)-- > (x,-y)[/tex]
Thus, the point after A(- 4, 2) after the reflection about x-axis is,
[tex](-4,2)-- > (-4,(-2))\\(-4,2)-- > (-4,-2)[/tex]
The figure again reflected over the line y = - x. When a figure is reflected with y = -x, then the coordinates of x and y are interchanged and their signs are also changed.
Thus, the point we get after this reflection are,
[tex](-4,-2)-- > (2,4)[/tex]
Thus, the coordinate of vertex A' of Square PAST which is reflected about the x - axis and again reflected over the line y =-x is (2,4).
Learn more about the reflection here;
https://brainly.com/question/1908648
