Class 9 Exam > Class 9 Questions > Bisector AD of ∠BAC of ABC passes through...
Start Learning for Free
Bisector AD of ∠BAC of ∆ABC passes through the center of the circumcircle of ∆ABC, then,
- a)AB ≠ AC
- b)AB = AC
- c)BC = AC
- d)BC = AB
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Bisector AD of ∠BAC of ABC passes through the center of the circum...
∵ AD is the bisector of ∠BAC
∴ AD is the ⊥ bisector of BC.
∵ O is the circumcentre of ∆ABC.
∴ AB = AC [∵ ∠ABD = ∠ACB]
(By using ∆ABD ≅ ∆ACD)
∴ AD is the ⊥ bisector of BC.
∵ O is the circumcentre of ∆ABC.
∴ AB = AC [∵ ∠ABD = ∠ACB]
(By using ∆ABD ≅ ∆ACD)
Free Test
FREE
| Start Free Test |
Community Answer
Bisector AD of ∠BAC of ABC passes through the center of the circum...
Triangle ABC is a line segment that divides the angle BAC into two equal angles. In other words, angle BAD is equal to angle CAD. This line segment is called the angle bisector because it bisects the angle.
The bisector AD can be constructed by using a compass and a straightedge. Here is one way to construct the bisector:
1. Draw triangle ABC with points A, B, and C.
2. Take your compass and open it to any convenient radius. With the compass centered at point A, draw an arc that intersects both sides of angle BAC. Label the points of intersection as D and E.
3. With the compass still set at the same radius, place the compass point at point D and draw an arc that intersects the previously drawn arc. Label this point of intersection as F.
4. Use a straightedge to draw a line segment from point A to point F. This line segment is the bisector AD of angle BAC.
Note that the resulting line segment AD divides angle BAC into two equal angles, angle BAD and angle CAD.
The bisector AD can be constructed by using a compass and a straightedge. Here is one way to construct the bisector:
1. Draw triangle ABC with points A, B, and C.
2. Take your compass and open it to any convenient radius. With the compass centered at point A, draw an arc that intersects both sides of angle BAC. Label the points of intersection as D and E.
3. With the compass still set at the same radius, place the compass point at point D and draw an arc that intersects the previously drawn arc. Label this point of intersection as F.
4. Use a straightedge to draw a line segment from point A to point F. This line segment is the bisector AD of angle BAC.
Note that the resulting line segment AD divides angle BAC into two equal angles, angle BAD and angle CAD.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Question Description
Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer?.
Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Bisector AD of ∠BAC of ABC passes through the center of the circumcircle of ABC, then,a)AB ≠ ACb)AB = ACc)BC = ACd)BC = ABCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup