Question
Using ruler and compasses only, draw a right angle.
✓
Answer
Draw a ray OA.
With a convenient radius and centre at O, draw an arc PQ with the help of a compass intersecting the ray OA at P.
With the same radius and centre at P, draw another arc intersecting the arc PQ at R.
With the same radius and centre at R, draw an arc cutting the arc PQ at C, opposite P.
Taking C and R as the centre, draw two arcs of radius more than half of CR that intersect each other at S.
Join O and S and extend the line to B.
$\angle\text{AOB}$ is the required angle of 90°.
With a convenient radius and centre at O, draw an arc PQ with the help of a compass intersecting the ray OA at P.
With the same radius and centre at P, draw another arc intersecting the arc PQ at R.
With the same radius and centre at R, draw an arc cutting the arc PQ at C, opposite P.
Taking C and R as the centre, draw two arcs of radius more than half of CR that intersect each other at S.
Join O and S and extend the line to B.
$\angle\text{AOB}$ is the required angle of 90°.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Draw an angle of 45°, using a pair of compasses.
The following data shows the average age of men in various countries in a certain year.
Represent the above information by a bar graph.
|
Country
|
India
|
Nepal
|
China
|
Pakistan
|
U.K
|
U.S.A
|
|
Average age (in years)
|
55
|
52
|
60
|
50
|
70
|
75
|
The following data gives the number (in thousands) of applicants registered with a divisions = 20 thousand tonnes.
Construct a bar graph to represent the above data.
|
Year
|
1995
|
1996
|
1997
|
1998
|
1999
|
2000
|
|
Number of applicants registered (in thousands)
|
18
|
20
|
24
|
28
|
30
|
34
|
Using a protractor, draw $\angle\text{BAC}$ of measure 45°. Take a point P in the interior of $\angle\text{BAC}.$ From P draw line segments PM and PN such that $\text{PM}\perp\text{AB}$ and $\text{PN}\perp\text{AC},$ Measure $\angle\text{MPN}.$
→At the Rice Research Centre at Tumsar there are 2610 kg of seeds of the basmati variety and 1980 kg of the indrayani variety. If the maximum possible weight of seeds has to be filled to make bags of equal weight what would be the weight of each bag? How many bags of each variety will there be?
Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect?
A rectangular courtyard is 18m, 72cm long and 13m, 20cm board. It is to be paved with square tiles of the same size. Find the least possibele number of such tiles.
Draw a line l. Take a point A, not lying on l. Draw a line m such that $\text{m}\perp\text{l}$ and passing through A. Using ruler and compasses.
→Add:
- 8 + 6
- 9 + (-3)
- 5 + (-6)
- – 7 + 2
- – 8 + 0
- – 5 + (-2)
A square sheet of side 5cm is cut out from a rectangular piece of an aluminimum sheet of length 9cm and breadth 6cm. What is the area of the aluminium sheet left over?