Question

use the drop - down menus to explain if the two figures below are congruent, similar, or neither. if the figures are similar, state the scale factor.
answer attempt 1 out of 2
figure qrstu is not congruent to figure jklmn because rigid motions cannot be used to map figure qrstu onto figure jklmn.
figure qrstu is not similar to figure jklmn because rigid motions and/or dilations can be used to map figure qrstu onto figure jklmn.

Explanation:

Step1: Recall congruence definition

Congruent figures can be mapped onto each other by rigid - motions (translations, rotations, reflections). Visually, the shapes and sizes of Figure QRSTU and Figure JKLMN are different, so rigid motions cannot map Figure QRSTU onto Figure JKLMN.

Step2: Recall similarity definition

Similar figures can be mapped onto each other by a combination of rigid motions and dilations. Since the ratios of corresponding side - lengths are not in proportion (by visual inspection and considering the orientation and size differences), rigid motions and dilations cannot map Figure QRSTU onto Figure JKLMN.

Answer:

Figure QRSTU is not congruent to Figure JKLMN because rigid motions cannot be used to map Figure QRSTU onto Figure JKLMN. Figure QRSTU is not similar to Figure JKLMN because rigid motions and/or dilations cannot be used to map Figure QRSTU onto Figure JKLMN.