A regular pentagon has rotational symmetry. What is its angle of rotation?

The following question consists of two sets of figures. There is a definite relationship between the first set of figures. Establish a similar relationship between the second set of figures by selecting a suitable figure from the options.

Graph the image of the triangle $ABC$ after a dilation with a scale factor of $\frac{1}{3}$, centered at the origin.

Give the order of rotational symmetry for the following figures when rotated about the marked point (x):

Can we have a rotational symmetry of order more than $1$ whose angle of rotation is $45°$?

Give the order of rotational symmetry for the following figure when rotated about the marked point (x):

Describe the transformation that has been performed in the diagram and express it using correct arrow notation. 

Graph the image of the quadrilateral $ABCD$ after a dilation with a scale factor of $3$, centered at the origin.

Give the order of rotational symmetry for the figure:

Plot the image of the shape on a Cartesian grid:

Rotation $90°$ anticlockwise about the origin

Does the following figure have rotational symmetry of order more than $1$?

Describe the transformation that have occurred in the diagram:

Plot the image of the shape on a Cartesian grid:

Rotation $180°$ about the origin