Product of two rotations

360 Views Asked by At

I apologize to anyone I wasted his/her time by this trivial question.

I have difficulty understanding how the product of two rotations can be a rotation as well.

Or in other words is the product of 4 reflections a rotation (using isometry rule of rotation=2 non-parallel reflections) iff the mirrors/reflective lines intersect at one point(center)?

I would greatly appreciate any sort of explanation or hints about this.