Sammi said that in the drawing below the image A of point A

Sammi said that in the drawing below the image A\' of point A under a reflection in line l can also be found by a rotation through alpha shown with center O. Therefore, every reflection is actually a rotation. How do you respond?

Solution

Solution -

For any point we can say reflection about any line is actuallt a rotation .

If line joining given point and center making an angle theta with line of reflection then line joining image and center will also make an angle theta. So we can say If we rotate given point A by angle 2 theta with respect to origin we will get same point A\'.