Question

prove that if three parallel lines are intersected by two transversal are proportional​

Answer 1

three parallel lines l,m,n which are cut by the transversals AB and CD in P, Q, R and E ,F,G respectively We shall prove,

QR

PQ

=

FG

EF

Draw PL∥CD meeting the lines m and n In M and L m respectively PROOF Since PE∥MF and PM∥EF ∴ PMFE is a prallelogram ⇒ PM = EF ....(i) (Opposite side of a ∥

gm

are equal ) Also MF∥lgandML∥FG Therefore MLGF is a parallelogram ML = FG ......(ii) (Opposite side of a ∥

gm

are equal ) Now in △PRLQM∥RL

QR

PQ

=

ML

PM

[Using Basic proportionality Theorem] or

QR

PQ

=

FG

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Answer 2

Answer:

hope i do not help u tgx for free 5 points

Step-by-step explanation:

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