Question

Find a transformation of the polygon that does result in at least one type of symmetry. Draw the image and list the coordinates of the vertices of the larger shape. How do you know the diagram has symmetry?

Answer 1

a rotation ${180}^o$ about the point (2, 6) result in a digram with rotational symmetry of order 2.
Coordinates of the larger shape : F'(-6,8), A(2,8), B(4,10), C(6,8), D(8,10), E(10,8), F(10,4), G(2,4), B'(0,2), C'(-2,4), D'(-4,2), E'(-6,4)
The diagram has rotational symmetry because it coincides with itself when it is rotated about the point (2,6).