Question
Construct 4 pairs of parallel lines in different orientations.
✓
Answer
Let AB be a given line; we shall draw a line parallel to the line AB.
Draw a line CD intersecting the line AB.
Choose a point P on the line CD.
We shall draw a line parallel to AB and passing through P.
With centres at E and P, draw arcs of equal radius.
Measure FG using a compass.
Transfer this length on the arc from H to get HI = FG.
Join P and I and extend this line on both sides.
Here, CD is a transversal, and the corresponding angles ∠PEB and ∠CPK are equal.
∴ The lines AB and JK are parallel lines.
Similarly, we can draw three other pairs of parallel lines.
Draw a line CD intersecting the line AB.
Choose a point P on the line CD.
We shall draw a line parallel to AB and passing through P.
With centres at E and P, draw arcs of equal radius.
Measure FG using a compass.
Transfer this length on the arc from H to get HI = FG.
Join P and I and extend this line on both sides.
Here, CD is a transversal, and the corresponding angles ∠PEB and ∠CPK are equal.
∴ The lines AB and JK are parallel lines.
Similarly, we can draw three other pairs of parallel lines.
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