 Hi and welcome to the session. Today we will learn the construction of a line parallel to a given line through a point not on the line. Here we are given a line L and a point P outside the line L. So let's start the construction. We will construct the line M parallel to line L using ruler and compasses only. First of all take a point Q on line L and join PQ. So our first step of construction will be take a point Q on line L and join PQ. With Q as center and any radius draw an arc to cut the line L and PQ like this. Let this arc cut the line L at point R and PQ at point S. So our second step of construction is with Q as center and any radius draw an arc to cut line L at point R, PQ at point S. Now with P as center and same radius draw another arc say arc AB to cut the line segment PQ at point C like this. So our third step of construction is with P as center and same radius draw an arc AB to cut PQ at point C. Next open your compasses and place the pointer of your compasses at point R and the pencil at point S to measure the length of the arc RS. Then with same measurements place the pointer of your compasses at point C and draw an arc to cut the arc AB at point D. So here we have drawn the arc and this cuts the arc AB at point D. As the fourth step place the pointer of compasses at point R and pencil at point S. Then with same measurements place the pointer of compasses at point C and draw an arc AB at point D. Now join PD and produce it to both the sides to get the line M. So this is the line M which is parallel to line L. A sixth step we have join PD to get line M parallel to line L. Now here in this construction what we have done is we have drawn an angle APQ equal to the angle PQR. Now as these angles form a pair of alternate interior angles so that means line M is parallel to line L. Thus in this session we have learnt the construction of a line parallel to a given line through a point not on the line. With this we finished this session. Hope you must have understood the construction. Goodbye, take care and have a nice day.