identify both the angle and direction of rotation(s) that will map the following figure onto itself. Figure: rectangle

Question

please help

Answer 1

Assuming the rectangle is not a square, a rotation of 180º, -180º, 360º, -360º will rotate the rectangle back onto itself.

 

If you want to consider angles beyond 360º, any rotation of k(180º) where k is an integer will work.

 

 

If you are looking at that special case of rectangle known as a square, any rotation of k(90º), where k is an integer will do the trick.