Question

If three or more parallel lines are cut by two transversals prove that the interceptor segments on the two transversals are proportional.
​

Answer 1

Answer:

The intercepts made by these three parallel lines on the transversal XY are PQ and QR. Construction: Through Q, a straight line is drawn parallel to IJ to intersect AB and EF at U and V respectively. ∴ KLQU is a parallelogram. ... Thus the theorem is proved for three parallel straight line.