Question

answer
figure klmno is not congruent to figure efghi because rigid motions cannot be used to map figure klmno onto figure efghi.
figure klmno is similar to figure efghi because rigid motions and/or dilations can be used to map figure klmno onto figure efghi.
the scale factor from figure klmno to figure efghi is 2

Explanation:

Congruent figures require rigid motions (translation, rotation, reflection) to map one to the other, but these cannot change size. KL MNO and EFGHI differ in size, so they are not congruent. Similar figures allow rigid motions plus dilation (size change); since the shapes are identical and only size differs, they are similar. The scale factor is found by comparing corresponding side lengths: EFGHI is larger, so scale factor from KL MNO to EFGHI is 2.

Answer:

1. Figure KLMNO is not congruent to Figure EFGHI because rigid motions cannot be used to map Figure KLMNO onto Figure EFGHI.
2. Figure KLMNO is similar to Figure EFGHI because rigid motions and/or dilations can be used to map Figure KLMNO onto Figure EFGHI.
3. The scale factor from Figure KLMNO to Figure EFGHI is 2.