Answer:
True if reflection over a line.
Explanation:
Given that there is a reflection symmetry. We have to discuss about the quality of the design.
By reflection , we mean it can be either on a line or on a point.
If symmetry is on a line, then we get a mirror image of the original one keeping the line of symmetry as mirror. Hence in this case when rotated about axis of symmetry lying it its plane the original design would be maintained.
Examples are : Circles, ellipses, hyperbolas, etc.
Reflection about a point is obtained by keeping equal distance form the point.
For example, reflection of (1,1) over origin would be (-1,-1)
Here the rotation quality may not apply