Question

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

Answer 1

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

`\begin{gathered} k=(TS)/(ON)=(14)/(6)=2.33 \\ \end{gathered}`

since we have dialation factor as 2.33, we can proceed to apply it to find OP

`\begin{gathered} k=(UT)/(OP) \\ 2.33=(12)/(OP) \\ OP=(12)/(2.33) \\ OP=5.14 \end{gathered}`

OP is equal to 5.14 which is equal to 5(1/7)