The quadrilateral shown undergoes a rotation of 180° about the origin and then a dilation about the origin by a scale factor of 2

The correct option is the first one "No. The rotation will not change the size and / or shape of the quadrilateral, but the dilation will"
A rotation preserves teh form and size, but the dilation will change its size. For two figures to be congruent they must have same shape and size.