Question

Three students Ankit Asmit and Anup are visiting a library. In which they found four tables, two wooden racks full of books and the window in front of them, which is in the shape of a trapezium (Fig - 1) i) How many pairs of parallel lines are there? - 13 pairs ii) Name any two pairs of parallel lines. CDUAB, AD11 BC . iii) How many pairs of intersecting lines are these? iv) Name any two pairs of intersecting lines.​

Answer 1

Solution :-

In library we have,

→ Tables = 4

→ Wooden racks = 2

→ Window = 1 = In shape of trapezium .

So,

→ Pair of parallel lines in a table = 2

→ Pair of parallel lines in 4 tables = 2 * 4 = 8

and,

→ Pair of parallel lines in a wooden rack = 2

→ Pair of parallel lines in 2 wooden racks = 2 * 2 = 4

and,

→ Pair of parallel lines in trapezium window = AD || EF, AD || GH, AD || BC, EF || GH, EF || BC and GH || BC = 6

then,

→ Total pair of parallel lines = 8 + 4 + 6 = 18 .

and ,

→ Two pair of parallel lines are = AD || EF and AD || GH .

now,

→ Total pair of intersecting lines are = BG and CH , BE and CF, BA and DC , GE and HF , GA and HD , EA and FD = Total 6 { Because they are not parallel and they will intersect each other when extended towards A and D . }

then,

→ Two pairs of intersecting lines are = BG and CH , BE and CF .

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