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QUESTION IMAGE

type the correct answer in the box. the figure shows five polygons: abc…

Question

type the correct answer in the box. the figure shows five polygons: abcde, fghij, klmno, pqrst, and uvwxy. polygon cannot be mapped onto the others by similarity transformations.

Explanation:

Step1: Recall similarity criteria

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

Step2: Analyze the polygons visually

By observing the shapes of the polygons in the coordinate - plane, polygon $KLMNO$ has a different shape compared to the others. The other polygons have more "elongated" or "rectangular - like" shapes in some sense, while $KLMNO$ has a more "compact" and different angular structure.

Answer:

$KLMNO$