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The figure shows five polygons: ABCDE, FGHIJ, KLMNO, PQRST, and UVWXY. Polygon_____ cannot be mapped onto the others by similarity transformations.

The figure shows five polygons ABCDE FGHIJ KLMNO PQRST and UVWXY Polygon cannot be mapped onto the others by similarity transformations class=

Respuesta :

I believe it is B. PQRST

Answer: The answer is polygons ABCDE and PQRST cannot be mapped.

Step-by-step explanation:  We are given a figure with five different polygons. We are to select two polygons that cannot be mapped to each other by similarity transformations.

Two polygons are said to be similar of their corresponding sides are proportional.

In polygons ABCDE and PQRST, we have  

AB = 10 units, BC = 8 units, CD = 6 units, PQ = 6 units, QR = 5 units and PT = 3 units.

We have

[tex]\dfrac{AB}{QR}=\dfrac{10}{5}=2,\\\\\dfrac{BC}{PQ}=\dfrac{8}{6}=\dfrac{4}{3}.[/tex]

Therefore, the ratio of the corresponding sides are not proportional/. Hence the two polygons cannot be similar.

Thus, polygons ABCDE and PQRST cannot be mapped to each other by similarity transformations.

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