Concept 9 of 10Foundation
Watch on YouTubeVideoConstructing parallel lines
To draw a line parallel to given line ℓ through an external point P:
- Draw any transversal from P meeting ℓ at point Q.
- Measure the angle at Q (between ℓ and PQ).
- At P, construct an EQUAL angle on the same side of PQ.
- That new line is parallel to ℓ (by corresponding-angles converse).
With a set square, the process is even faster: slide the set square along a ruler holding one edge fixed along ℓ — the parallel edge gives parallel lines effortlessly.
Example
Railway tracks stay parallel because their spacing is maintained — a real-world use of parallel construction.
💡 Tip:Two lines are proven parallel when corresponding angles (or alternate angles) are equal on a transversal.
▶Prefer a video? Open YouTube search for “constructing parallel lines class 6”↗🎯 Try it!
5 questions to check what you just read.
0 / 5
- Q1.Two lines are parallel if a transversal creates:
- Q2.Quick tool for parallels via sliding:
- Q3.Parallel lines are always:
- Q4.In a parallelogram, opposite sides are:
- Q5.If alternate interior angles are equal, lines are: