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

4Trapezoid STUV is similar to trapezoid NOPQ 83AU18 cmN12 cm8 cmoT14 cmPSWhat is the length of opAB4 centimetersscentimetersC28 centimetersD36 centimeters class=

Respuesta :

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)

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