Answer:
Regular polygon of 10 sides or 10-gon
Step-by-step explanation:
The angle of rotation symmetry is equal to
θ = 360/n
Where n is the order of rotation. In a regular polygon, the order of rotation for symmetry is the number of sides.
In this case, we can replace θ by 36 degrees and solve the equation for n
36 = 360/n
n = 360/36
n = 10
Therefore, the shape of rotation should be a regular polygon of 10 sides.