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The internal and external bisectors of an angle form a
- a)Reflex angle
- b)Acute angle
- c)Right angle
- d)Straight angle
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The internal and external bisectors of an angle form aa)Reflex angleb)...
Understanding Angle Bisectors
The internal and external bisectors of an angle play a crucial role in geometry. Let's explore what happens when these bisectors intersect.
Definition of Internal and External Bisectors
- **Internal Bisector**: This is the line that divides the angle into two equal parts, lying within the angle.
- **External Bisector**: This line also divides the angle into two equal parts but lies outside the angle.
Relationship Between Internal and External Bisectors
- When you draw both bisectors for an angle, they meet at a specific point known as the "excenter" of the triangle formed by the angle.
- The internal bisector creates two angles that are equal to each other.
- The external bisector also creates two equal angles, but these angles are supplementary to the internal bisector's angles.
Formation of a Right Angle
- The key point to note is that the internal and external bisectors intersect at a 90-degree angle.
- This intersection means that the angles formed by the internal and external bisectors are right angles (90 degrees).
Conclusion
Thus, when considering the intersection of the internal and external bisectors of an angle, it is clear they form a right angle. Therefore, the correct answer is option 'C': Right angle. This property is fundamental in various geometric constructions and proofs.
The internal and external bisectors of an angle play a crucial role in geometry. Let's explore what happens when these bisectors intersect.
Definition of Internal and External Bisectors
- **Internal Bisector**: This is the line that divides the angle into two equal parts, lying within the angle.
- **External Bisector**: This line also divides the angle into two equal parts but lies outside the angle.
Relationship Between Internal and External Bisectors
- When you draw both bisectors for an angle, they meet at a specific point known as the "excenter" of the triangle formed by the angle.
- The internal bisector creates two angles that are equal to each other.
- The external bisector also creates two equal angles, but these angles are supplementary to the internal bisector's angles.
Formation of a Right Angle
- The key point to note is that the internal and external bisectors intersect at a 90-degree angle.
- This intersection means that the angles formed by the internal and external bisectors are right angles (90 degrees).
Conclusion
Thus, when considering the intersection of the internal and external bisectors of an angle, it is clear they form a right angle. Therefore, the correct answer is option 'C': Right angle. This property is fundamental in various geometric constructions and proofs.
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The internal and external bisectors of an angle form aa)Reflex angleb)Acute anglec)Right angled)Straight angleCorrect answer is option 'C'. 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 The internal and external bisectors of an angle form aa)Reflex angleb)Acute anglec)Right angled)Straight angleCorrect answer is option 'C'. 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 The internal and external bisectors of an angle form aa)Reflex angleb)Acute anglec)Right angled)Straight angleCorrect answer is option 'C'. Can you explain this answer?.
The internal and external bisectors of an angle form aa)Reflex angleb)Acute anglec)Right angled)Straight angleCorrect answer is option 'C'. 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 The internal and external bisectors of an angle form aa)Reflex angleb)Acute anglec)Right angled)Straight angleCorrect answer is option 'C'. 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 The internal and external bisectors of an angle form aa)Reflex angleb)Acute anglec)Right angled)Straight angleCorrect answer is option 'C'. Can you explain this answer?.
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