Question

Square efgh has been reflected across the x axis and then reflected across the y axis which of the following transformations would return the square to its original position

Answer 1

Answer:

c . reflection about x and then reflection about y axis.

Step-by-step explanation:

If we rotate the square again at an angle of 180 degrees it will return the square to its original position.

for example we just do this test

Pick a corner of the square, lets say  (x,y)

first ,we relflected the square about x axis  (-x, y)

then we reflected it about  y axis,which gives us  (-x, -y)  

To return it back to the original position we do this:

180 degree rotation:  ( - (-x)  , -  (-y) ) = (x,y)

It confirms that option C is the answer.

Answer 2

An 180-degreee rotation would return the square to its original position.