Tell whether the pair of polygons is similar. Explain why or why not?
For polygon A, the sides are QR 13ft, QP 8ft, PS 13ft, and RS 8ft. For polygon B the sides are UV 2.4ft, UT 5.2, TW 2.4, and VW 5.2ft.
Can someone explain it to me?
lh3.googleusercontent.com/_SPTYp8BavRHDouRbwGVj0m1zb_Xu8vWJC6b-0lrTh3NbYhC33ZpMmHA_FrfPPaJlItXZg=s170
here's a link to the image.
anyone?!? PLZ!!!
To determine whether the pair of polygons A and B are similar, we need to compare the corresponding side lengths of the polygons.
For polygon A, the side lengths are QR = 13ft, QP = 8 ft, PS = 13ft, and RS = 8ft.
For polygon B, the side lengths are UV = 2.4ft, UT = 5.2 ft, TW = 2.4ft, and VW = 5.2ft.
To determine whether the polygons are similar, we need to check if the ratios of corresponding side lengths are equal.
The ratio of QR (13ft) to UV (2.4ft) is approximately 5.42.
The ratio of QP (8ft) to UT (5.2ft) is approximately 1.54.
The ratio of PS (13ft) to VW (5.2ft) is approximately 2.50.
The ratio of RS (8ft) to TW (2.4ft) is approximately 3.33.
Since the ratios of the corresponding side lengths are not all equal, the polygons A and B are not similar.
Hence, we can conclude that polygon A and polygon B are not similar because their corresponding side lengths are not in proportion.
To determine whether the pair of polygons is similar, we need to compare the ratios of their corresponding side lengths.
Let's compare the ratios of the corresponding sides:
QR/UV = 13/2.4 ≈ 5.417
QP/UT = 8/5.2 ≈ 1.538
PS/TW = 13/2.4 ≈ 5.417
RS/VW = 8/5.2 ≈ 1.538
Since the ratios are not equal for all corresponding sides, the polygons are not similar.
To explain this, polygons are considered similar if their corresponding sides are proportional. In other words, the ratios of the lengths of each pair of corresponding sides must be equal. If the ratios are not equal for all corresponding sides, then the polygons are not similar.
In this given example, we can see that the ratios QR/UV and PS/TW are approximately equal, but the ratios QP/UT and RS/VW are not. Since all four ratios are not equal, the polygons A and B are not similar.