Answer:
First option is correct. The location of point A after the transformations is (-5,1).
Step-by-step explanation:
It is given that the coordinates of point A are (-5,1).
Rectangle ABCD is reflected over the x-axis. then x-coordinate remains the same but the sign of y-coordinate is changed.
\((x,y)\rightarrow (x,-y)\)
Coordinates of point A are
\((-5,1)\rightarrow (-5,-1)\)
After that ABCD is reflected over the y-axis, then y-coordinate remains the same but the sign of x-coordinate is changed.
\((x,y)\rightarrow (-x,y)\)
Coordinates of point A are
\((-5,-1)\rightarrow (5,-1)\)
After that ABCD rotated 180 degrees about the origin, then the sign of both coordinates are changed.
\((x,y)\rightarrow (-x,-y)\)
\((5,-1)\rightarrow (-5,1)\)
Therefore option 1 is correct.
