Question
Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose? [4 MARKS]
Answer:
:
Steps: 2 Marks
Construction: 2 Marks
To construct: A pair of parallel lines intersecting other parts of parallel lines.
Steps of construction:
Draw a line l and take a point P outside l.
Take point Q on line l and join PQ.
Make equal angle at point P such that ∠Q=∠P.
Extend line at P to get line m.
Similarly, taking a point R on line m, at point R, draw angles such that ∠P=∠R.
The extended line at R which intersects at S on line l, Draw line RS. Thus, we get a parallelogram PQRS.
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:
Steps: 2 Marks
Construction: 2 Marks
To construct: A pair of parallel lines intersecting other parts of parallel lines.
Steps of construction:
Draw a line l and take a point P outside l.
Take point Q on line l and join PQ.
Make equal angle at point P such that ∠Q=∠P.
Extend line at P to get line m.
Similarly, taking a point R on line m, at point R, draw angles such that ∠P=∠R.
The extended line at R which intersects at S on line l, Draw line RS. Thus, we get a parallelogram PQRS.
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