Construction of Angle and Angle Bisector
Construction of Angle and Angle Bisector
Bisecting an angle means drawing a ray in the interior of the angle, with its initial point at the vertex of the angle such that it divides the angle into two equal parts
.
| In order to draw a ray AX bisecting a given angle |
 |
| STEP I With centre A and any convenient radius draw an are cutting AB and AC at P and Q respectively. |  |
| STEP II With centre P and radius more than half of PQ draw an arc. |  |
| STEP III With centre Q and the same radius,as in step II, draw another arc intersecting the arc in step II at R. |  |
| STEP IV Join AR and produce it to any point X. The ray AX is the required bisector of |
 |
Verification: Measure and
You would find that
Justification: Now let us see how this method gives us the required angle bisector.
|
Join PR and QR. In AP = AQ [ PR = QR [ AR = AR [common] So, Hence, AR is the bisector of |
 |
ILLUSTRATION: Using a protractor, draw an angle of mesure . With this angle as given, draw an angle of measure
.
SOLUTION We follow the following steps to draw an angle of from an angle of .
Steps of Construction
|
STEP I Draw a ray OA as shown in fig. STEP II With the help of a protractor contruct an angle AOB of measure |
 |
| STEP III WIth centre O and a convenient radius draw an arc cutting sides OA and OB at P and Q respectively. |  |
| STEP IV With centre P and radius more than half of PQ, draw an arc. |  |
| STEP V With centre Q and the same radius, as in the previous step, draw another arc intersecting the arc drawn in the previous step at R. |  |
| STEP VI Join OR and produce it to form ray OX. |  |
| The angle |
 |
Angle bisector of given angle can be constructed accurately using ________________. | |||
| Right Option : A | |||
| View Explanation | |||
If we bisect an angle of a rectangle , we get 2 angles each of ________ | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
