Construction of 90 Degree Angle


 
 
Concept Explanation
 

Construction of 90 Degree Angle

Construction of 90 Degree Angle:  In order to construct an angle of measure of large 90^{circ}, we follow the following steps:

Steps of Construction

STEP I  Draw a ray OA.

STEP II With O as centre and any convenient radius, draw an arc, cutting OA at P.

STEP III With P as centre and the same radius, draw an arc cutting the arc drawn in step II at R.

STEP IV With R as centre and the same radius as in steps II and III, draw an arc, cutting the arc drawn in step III at S.
STEP V With R as centre and the same radius, draw an arc.
STEP VI  With S as centre and the same radius,draw an arc, cutting the arc drawn in step V at T.
STEP VII Draw OT and produce it to B.
large angle AOB is the angle of measure large 90^{circ}.

Construction of an angle of large 45^{circ} : In order to construct an angle of large 45^{circ}, we follow the following steps:

Steps of Construction

STEP I Draw large angle AOB=90^{circ} by following the steps given above.
STEP II  With P as centre and radius more than half PM , draw an arc.
STEP III  With M as centre and radius same as step II draw an arc to intersect the arc at U.
Step IV: Join OU and extend it to point C
The angle large angle AOC so obtained is the required angle of measure large 45^{circ}.

 

Sample Questions
(More Questions for each concept available in Login)
Question : 1

What is the measure of right angle?

Right Option : D
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Explanation
Question : 2

Arrange the steps in correct order to make the construction in the diagram:-

1.Draw a ray OA.

2. With P as centre and the same radius, draw an arc cutting the arc drawn in step II at R..

3. With O as centre and any convenient radius, draw an arc, cutting OA at P.

4. With S as centre and the same radius,draw an arc, cutting the arc drawn in step V at T

5. Draw OT and produce it to B.

6. With R as centre and the same radius as in steps II and III, draw an arc, cutting the arc drawn in step III at S.

7. With R as centre and the same radius, draw an arc

Right Option : B
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Explanation
Question : 3

How many arcs are drawn to construct an angle of 900 ?

Right Option : C
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Explanation
 
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