if lines AB, AC , AC and AE are parellel to a line p , show that the points A, - Maths - Introduction to Euclid\s Geometry

Question

if lines AB, AC , AC and AE are parellel to a line p , show that
the points A, B, C ,D ,& E are collinear

Ankush Jain · Accepted Answer

Given: lines AB, AC, AD and AE are parallel to
a line p
Proof:
Since lines AB, AC, AD and AE are parallel to a line p
Therefore, point A lies outside p and through A lines AB,
AC, AD and AE are drawn each parallel to p
But by parallel axiom, one and only one line can be drawn
parallel to p, through a point outside it
So, the points A, B, C, D and E lie on the same line
Hence, points A, B, C, D and E are collinear points

if lines AB, AC , AC and AE are parellel to a line p , show that the points A, B, C ,D ,& E are collinear