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
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.
To determine if the pair of polygons is similar, we need to check if their corresponding sides are proportional.
In the 1st polygon, we have:
PQ = 8ft
QR = 13ft
RS = 8ft
In the 2nd polygon, we have:
TU = 5.2ft
UV = 2.4ft
VW = 5.2ft
To check if the polygons are similar, we need to compare the ratios of corresponding sides. Let's calculate the ratios:
Ratio of the corresponding sides PQ/TU:
PQ/TU = 8/5.2 = 1.54
Ratio of the corresponding sides QR/UV:
QR/UV = 13/2.4 = 5.42
Ratio of the corresponding sides RS/VW:
RS/VW = 8/5.2 = 1.54
The ratios of the corresponding sides are not equal. Since at least one pair of corresponding sides is not proportional, the polygons are not similar.