Question

type the correct answer in the box.
the figure shows five polygons: abcde, fgh ij, klmno, pqrst, and uvwxy.
polygon
\boxed{}
cannot be mapped onto the others by similarity transformations.

Explanation:

Step1: Recall definition of similar polygons

Similar polygons have corresponding angles equal and side - lengths in proportion.

Step2: Analyze polygons

Polygons \(ABCDE\), \(FGHIJ\), \(PQRST\), \(UVWXY\) are congruent (a special case of similarity with scale factor \(1\)).
For polygon \(KLMNO\), its shape is different from the others. The side - length ratios and angle measures do not match those of \(ABCDE\), \(FGHIJ\), \(PQRST\), \(UVWXY\).

Answer:

\(KLMNO\)