Question

answer attempt 1 out of 3 figure qrstu is not congruent to figure jklmn because rigid motions cannot be used to map figure qrstu onto figure jklmn. figure qrstu is similar to figure jklmn because rigid motions and/or dilations can be used to map figure qrstu onto figure jklmn. the scale factor from figure qrstu to figure jklmn is

Explanation:

Step1: Recall congruence and similarity definitions

Congruent figures can be mapped onto each other by rigid - motions (translations, rotations, reflections). Similar figures can be mapped onto each other by rigid - motions and dilations.

Step2: Analyze congruence

Since rigid motions cannot map Figure QRSTU onto Figure JKLMN, they are not congruent.

Step3: Analyze similarity

Since rigid motions and/or dilations can map Figure QRSTU onto Figure JKLMN, they are similar.

Step4: Find scale factor

Let's assume we know corresponding side lengths. If the length of a side in Figure QRSTU is \(a\) and the corresponding side length in Figure JKLMN is \(b\), the scale factor \(k=\frac{b}{a}\). Without specific side - length values given in the problem, we can't calculate a numerical value for the scale factor. But conceptually, the scale factor exists as the ratio of corresponding side lengths of similar figures.

Answer:

The scale factor from Figure QRSTU to Figure JKLMN is the ratio of the lengths of corresponding sides of the two similar figures.