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4.Trapezoid STUV is similar to trapezoid NOPQ (8.3A)U18 cmvN12 cm6 cmo14 cmS?What is the length of Op?A.4 centimetersB.5 centimetersC.28 centimetersD.36 centimeters

4.Trapezoid STUV is similar to trapezoid NOPQ (8.3A)U18 cmvN12 cm6 cmo14 cmS?What-example-1
User Cnaak
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1 Answer

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From the figures, STUV is similar to NOPQ

So their sides are proportion


(UV)/(PQ)=(ST)/(NO)=(UT)/(OP)

Since UT = 12

NO = 6

ST = 14

Let us substitute them in the rule above


(18)/(PQ)=(14)/(6)=(12)/(OP)

By using cross multiplication with the last two fraction


\begin{gathered} (14)/(6)=(12)/(OP) \\ 14* OP=6*12 \\ 14OP=72 \end{gathered}

Divide both sides by 14 to find OP


\begin{gathered} (14OP)/(14)=(72)/(14) \\ OP=(36)/(7)=5(1)/(7) \end{gathered}

Answer B

User Damnever
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