Which one of the following proportions is true for the segments shown in the figure if lines a, b, and c are parallel to each other?

Solution :

As given in the figure

a ║ b ║ c

∠1= ∠ 5,

∠2 = ∠6

∠3=∠7

∠4 =∠8

As all these angles are corresponding angles.

So Trapezoid ABCD and Trapezoid CDEF are similar.

When two polygons are similar their sides are proportional.

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