Tell whether the pair of polygons is similar. Explain why or why not

1ST POLYGON IS PQ-8FT, QR-13FT, RS-8FT,
2ND POLYGON IS TU-5.2FT, UV-2.4FT, VW-5.2FT

1 answer

To determine whether two polygons are similar, we need to compare the ratios of corresponding sides.

In the first polygon, the ratio of the lengths of PQ, QR, and RS is 8:13:8.
In the second polygon, the ratio of the lengths of TU, UV, and VW is 5.2:2.4:5.2.

The ratio of 8:13 is not equal to the ratio of 5.2:2.4, and the ratio of 13:8 is not equal to the ratio of 2.4:5.2.

Therefore, the pair of polygons is not similar because the ratios of their corresponding sides are not equal.
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