G.1.16.2 Self Rotation

Topic:
Rotation
Determine all the angles of rotation that create symmetry for each of the shapes below. In other words, determine the angle(s) you can turn the shape about its center (point P) and have it land on itself.

What angle(s) of rotation that create symmetry does an isosceles trapezoid have?

What angle(s) of rotation that create symmetry does a rectangle (that is not a square) have?

What angle(s) of rotation that create symmetry does a rhombus have?

What angle(s) of rotation that create symmetry does a parallelogram have?

What angle(s) of rotation that create symmetry does an isosceles triangle have?

What angle(s) of rotation that create symmetry does a regular pentagon have?

What angle(s) of rotation that create symmetry does a square have?

What angle(s) of rotation that create symmetry does a circle have?