CONSTRUCTION OF 60 DEGREE ANGLE:
In order to construct an angle of with the help of ruler and compasses only, we follow the following steps:
Steps of Construction
STEP I Draw a ray OA. STEP II With centre O and any radius draw an arc PQ with the help of compasses, cutting the ray OA at P. | |
STEP III With centre P and the same radius draw an arc cutting the arc PQ at R. | |
STEP IV Join OR and produce it to obtain ray OB. | |
The angle so obtained is the angle of measure . |
Justification : Now, let us see how this method gives us the required angle of .
Join PR. Now In we have OP = OR = PR [PR is an arc equal to radius] is an equilateral triangle. |
CONSTRUCTION OF AN ANGLE OF
In order to construct an angle of by using ruler and compasses only, 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 PQ cutting OA at P. | |
STEP III With P as centre and the same radius draw an arc, cutting the arc PQ at R. Then taking R as centre and the same radius draw an arc cutting the arc PQ at S. | |
STEP IV Join OS and produce it to any point B. | |
so obtained is the angle of measure |
How many arcs are required to be drawn to construct an angle of 600 ? | |||
Right Option : B | |||
View Explanation |
Arrange the steps in a proper manner to construct an angle of 60 degree : 1. With P as the centre and same radius as in step II , draw another arc intersecting the previous arc at R. 2. Join OR and extend it to B. 3. Draw a ray OA. 4. With O as the centre and a suitable radius draw an arc intersecting OA at P. | |||
Right Option : C | |||
View Explanation |
Arrange the following steps in a sequence manner to construct an angle of : Step 1. Take P as a center and with the radius of the same length mark an arc on the former arc at a point R. Step 2. On a plane, sheet draw a line segment OA. Step 3. Join points O to R and produce up to point B. Step 4. Take O as a center, draw an arc with proper radius. | |||
Right Option : C | |||
View Explanation |
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