Class 7 Exam > Class 7 Questions > Practice Quiz or MCQ (Multiple Choice Questio...
Start Learning for Free
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
If two lines intersect at a point, then the vertically opposite angles are always ________
- a)supplementary
- b)equal
- c)unequal
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Given two lines AB and CD intersect each other at the point O.
To prove: ∠1 = ∠3 and ∠2 = ∠4
Proof:
From the figure, ∠1 + ∠2 = 180 deg [Linear pair] → (1)
∠2 + ∠3 = 180 deg [Linear pair] → (2)
From (1) and (2), we get
∠1 + ∠2 = ∠2 + ∠3
∴ ∠1 = ∠3
Similarly, we can prove ∠2 = ∠4 also.
Most Upvoted Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Explanation:
When two lines intersect at a point, they form four angles. The angles that are opposite to each other, and are formed by intersecting lines, are known as vertically opposite angles. These angles are always equal.
Proof:
To prove that vertically opposite angles are always equal, let's consider two intersecting lines, line AB and line CD, intersecting at point O. This forms four angles: ∠AOB, ∠BOC, ∠COD, and ∠DOA.
Now, we need to prove that ∠AOB = ∠COD and ∠BOC = ∠DOA.
Proof of ∠AOB = ∠COD:
- Construct line OE parallel to line CD, passing through point B.
- In ∆BOE and ∆COD, we have:
- ∠OBE = ∠ODC (Alternate interior angles)
- ∠BOE = ∠COD (Corresponding angles)
- OE = OD (Construction)
- By ASA (Angle-Side-Angle) congruence rule, ∆BOE ≅ ∆COD.
- Therefore, ∠AOB = ∠COD (Corresponding parts of congruent triangles are equal).
Proof of ∠BOC = ∠DOA:
- Construct line OF parallel to line AB, passing through point C.
- In ∆BOF and ∆DOA, we have:
- ∠BOF = ∠DOA (Alternate interior angles)
- ∠OBF = ∠ODA (Corresponding angles)
- OF = OA (Construction)
- By ASA congruence rule, ∆BOF ≅ ∆DOA.
- Therefore, ∠BOC = ∠DOA (Corresponding parts of congruent triangles are equal).
Hence, we have proved that vertically opposite angles are equal. Therefore, the correct answer is option B - equal.
When two lines intersect at a point, they form four angles. The angles that are opposite to each other, and are formed by intersecting lines, are known as vertically opposite angles. These angles are always equal.
Proof:
To prove that vertically opposite angles are always equal, let's consider two intersecting lines, line AB and line CD, intersecting at point O. This forms four angles: ∠AOB, ∠BOC, ∠COD, and ∠DOA.
Now, we need to prove that ∠AOB = ∠COD and ∠BOC = ∠DOA.
Proof of ∠AOB = ∠COD:
- Construct line OE parallel to line CD, passing through point B.
- In ∆BOE and ∆COD, we have:
- ∠OBE = ∠ODC (Alternate interior angles)
- ∠BOE = ∠COD (Corresponding angles)
- OE = OD (Construction)
- By ASA (Angle-Side-Angle) congruence rule, ∆BOE ≅ ∆COD.
- Therefore, ∠AOB = ∠COD (Corresponding parts of congruent triangles are equal).
Proof of ∠BOC = ∠DOA:
- Construct line OF parallel to line AB, passing through point C.
- In ∆BOF and ∆DOA, we have:
- ∠BOF = ∠DOA (Alternate interior angles)
- ∠OBF = ∠ODA (Corresponding angles)
- OF = OA (Construction)
- By ASA congruence rule, ∆BOF ≅ ∆DOA.
- Therefore, ∠BOC = ∠DOA (Corresponding parts of congruent triangles are equal).
Hence, we have proved that vertically opposite angles are equal. Therefore, the correct answer is option B - equal.
Free Test
FREE
| Start Free Test |
Community Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Given two lines AB and CD intersect each other at the point To show : From the figure, ∠1 + ∠2 = 180 degree = 1∠2 + ∠3 = 180 degree = 2From 1 and 2, we get ∠1 + ∠2 = ∠2 + ∠3 ∴ ∠1 = ∠3 In this way we can also state that angle 2 = angle 4
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Top Courses for Class 7View all
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer?.
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Lines and Angles, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.If two lines intersect at a point, then the vertically opposite angles are always ________a)supplementaryb)equalc)unequald)none of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup