Question

answer
figure fghi congruent to figure opqr because rigid motions be used to map figure fghi onto figure opqr.
figure fghi similar to figure opqr because rigid motions and/or dilations be used to map figure fghi onto figure opqr.

Explanation:

Congruent figures can be mapped onto each other using only rigid motions (translations, rotations, reflections) and are identical in size and shape. Similar figures can be mapped using rigid motions plus dilations, and have the same shape but may differ in size. Looking at the graph, Figure FGHI and Figure OPQR are the same shape and size, just in different quadrants. Rigid motions (translation, reflection/rotation) can map FGHI to OPQR. Also, since congruent figures are always similar, the mapping for similarity is also possible.

Answer:

Figure FGHI is congruent to Figure OPQR because rigid motions can be used to map Figure FGHI onto Figure OPQR.
Figure FGHI is similar to Figure OPQR because rigid motions and/or dilations can be used to map Figure FGHI onto Figure OPQR.