4.Trapezoid STUV is similar to trapezoid NOPQ (8.3A)U18 cmN12 cm8 cmoT14 cmPSWhat is the length of op?A.B.4 centimetersscentimetersC.28 centimetersD.36 centimeters

hello
Ans = 5(1/7) = option b
to solve this question, we need to find the dilation factor first and compare by how much did OP reduce to UT
from the trapezium, TS is similar to ON
[tex]\begin{gathered} k=\frac{TS}{ON}=\frac{14}{6}=2.33 \\ \end{gathered}[/tex]since we have dialation factor as 2.33, we can proceed to apply it to find OP
[tex]\begin{gathered} k=\frac{UT}{OP} \\ 2.33=\frac{12}{OP} \\ OP=\frac{12}{2.33} \\ OP=5.14 \end{gathered}[/tex]OP is equal to 5.14 which is equal to 5(1/7)