20,884 views
41 votes
41 votes
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

4.Trapezoid STUV is similar to trapezoid NOPQ (8.3A)U18 cmN12 cm8 cmoT14 cmPSWhat-example-1
User Harshad Vekariya
by
2.9k points

1 Answer

14 votes
14 votes

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)

User Misternewb
by
3.1k points