Question

state the property of parallel lines used to divide a given segment in the given number of equal parts

Answer 1

by taking perpendecular bisector we can divide the line segment as many pars required

Answer 2

Answer:

The property used is  Parallel lines make equal corresponding angles on given parallel lines.

Step-by-step explanation:

we have to define the property of parallel lines used to divide a given segment in the given number of equal parts

As, Parallel lines make equal angles on given parallel lines. which are corresponding angles.

Now, randomly acute ∠BAC is drawn and then same measure ∠ABD is also drawn as both angles are alternate angles which are equal when lines are parallel.

∠APE, ∠AQF, ∠ARF are all equal as these are correponding angles and intersect the line at points J, K, L, and M. Hence, segments AP, PQ, QR… and BH,HG,GF… are drawn of equal lengths.

Hence, parallel lines  divide a given segment in the given number of equal parts.