Class 7 Exam > Class 7 Questions > Which of the following statements is false?a)...
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Which of the following statements is false?
- a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
- b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
- c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
- d)A transversal cuts two parallel lines in three points.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements is false?a)When a transversal cuts t...
- (a) This is true.
By the property of parallel lines and transversals, corresponding angles are always equal. - (b) This is true.
Alternate interior angles are equal when a transversal cuts two parallel lines. - (c) This is true.
Interior angles on the same side of the transversal are supplementary, meaning their sum is 180°. - (d) This is false.
A transversal intersects two parallel lines at exactly two points, not three.
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Which of the following statements is false?a)When a transversal cuts t...
Understanding the Statements
When analyzing the properties of angles formed by a transversal cutting through parallel lines, it's essential to understand the geometric principles involved.
Statement Analysis
- Statement A: When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
- This statement is true. Corresponding angles formed when a transversal crosses parallel lines are always equal.
- Statement B: When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
- This statement is also true. Alternate interior angles are equal when formed by a transversal with two parallel lines.
- Statement C: When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
- This statement is true. The interior angles on the same side of the transversal add up to 180 degrees.
Identifying the False Statement
- Statement D: A transversal cuts two parallel lines in three points.
- This statement is false. A transversal intersects two parallel lines at exactly two points, not three.
Conclusion
Thus, the correct answer is option 'D', as it misrepresents the number of intersection points created by a transversal with two parallel lines. Understanding these fundamental concepts is crucial for mastering geometry.
When analyzing the properties of angles formed by a transversal cutting through parallel lines, it's essential to understand the geometric principles involved.
Statement Analysis
- Statement A: When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
- This statement is true. Corresponding angles formed when a transversal crosses parallel lines are always equal.
- Statement B: When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
- This statement is also true. Alternate interior angles are equal when formed by a transversal with two parallel lines.
- Statement C: When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
- This statement is true. The interior angles on the same side of the transversal add up to 180 degrees.
Identifying the False Statement
- Statement D: A transversal cuts two parallel lines in three points.
- This statement is false. A transversal intersects two parallel lines at exactly two points, not three.
Conclusion
Thus, the correct answer is option 'D', as it misrepresents the number of intersection points created by a transversal with two parallel lines. Understanding these fundamental concepts is crucial for mastering geometry.
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Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer?.
Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following statements is false?a)When a transversal cuts two parallel lines, each pair of corresponding angles are equal.b)When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.c)When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.d)A transversal cuts two parallel lines in three points.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 7 tests.
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