# Construction of a line parallel to a given line, through a point not on the line

Last updated at Sept. 29, 2018 by Teachoo

Last updated at Sept. 29, 2018 by Teachoo

Transcript

Construction of a line parallel to a given line, through a point not on the line Let’s take an example 1. Given a line l with point A not on it We need to draw a line parallel to line l, passing through point A 2. Mark point B on the line l Join AB 3. With B as center, and any radius, draw an arc intersecting l at C, and AB at D 2. Mark point B on the line l Join AB 3. With B as center, and any radius, draw an arc intersecting l at C, and AB at D 5. Open compass to length CD 6. Now, with E as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at F 7. Draw a line m passing though A & F Thus, m is the line parallel to l, and passing though point A ∴ l ∥ m Justification From figure, we see that ∠ DBC = ∠ FAE as we have drawn them using the same radii. Now, for lines l and m ∠ DBC and ∠ FAE are alternate interior angles, and they are equal ∴ l ∥ m

Construction of line parallel to given line, through point not on line

Chapter 10 Class 7 Practical Geometry

Concept wise

- Construction of line parallel to given line, through point not on line
- Constructing a triangle when 3 sides known (SSS)
- Constructing a triangle when 2 sides and angle between is known (SAS)
- Constructing a triangle when 2 angles and side between is known (ASA)
- Constructing a right triangle when hypotenuse and side is given (RHS)

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.