Question

figure a is rotated and then dilated to form figure b. what must be true of the figures? a the side lengths are the same on both figures. b they have the same size but different shapes. c the figures are similar. d the figures are congruent.

Explanation:

Rotation is a rigid - motion that preserves shape and size. Dilation is a non - rigid transformation that changes the size by a scale factor but preserves the shape. Similar figures have the same shape but not necessarily the same size. Since dilation changes the size, the figures are not congruent (same size and shape) and side - lengths are not the same. They cannot have the same size but different shapes as rotation and dilation preserve shape. So, the figures are similar.

Answer:

C. The figures are similar.