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Construction of a Line Parallel to the Given Line
Last updated at February 6, 2026 by Teachoo
Construction of a Line Parallel to the Given Line
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II)
- Constructing an Eye
- Constructing a Perpendicular Bisector
- Constructing angle 90°
- Construction Methods in Śulba-Sūtras
- Constructing Angle Bisectors
- Figure it out - Pag 144, 145
- Constructing Copy of an Angle
-
Construction of a Line Parallel to the Given Line
- Constructing Arch Designs
- Constructing Regular Hexagon, Angle 60° and 6-pointed Star
- Figure it out - Pag 154, 155
- Tangrams
- Tiling
- Figure it out - Page 160
- Tiling the Entire Plane
Transcript
Construction of a Line Parallel to the Given LineLet’s say we have a line m And line l intersects it, making angle a To make a line parallel to line m, We choose another point B on line l And draw same angle a on it The line formed is the required line Here, l is the transversal And angle a on both lines is the alternate angles If alternate angles are equal, lines are parallel Steps of Construction Let’s draw it now 1. Given a line m with point B not on it We need to draw a line parallel to line m, passing through point B 2. Mark point A on the line l Join AB 3. With A as center, and any radius, draw an arc intersecting m at C, and AB at D 3. With B as center, and same radius as before, draw an arc intersecting AB at E 4. Open compass to length CD 5. Now, with E as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at F 6. Draw a line n passing though B & F Thus, n is the line parallel to m, and passing though point B ∴ m ∥ n
