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If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.
- a)equal
- b)complimentary
- c)unequal
- d)supplementary
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If two parallel lines are cut by a transversal, each pair of the corre...
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If two parallel lines are cut by a transversal, each pair of the corre...
Corresponding Angles in Parallel Lines and Transversals
Understanding the concept of corresponding angles in parallel lines and transversals is crucial in geometry. When two parallel lines are cut by a transversal, several pairs of angles are formed. One important property is that corresponding angles are always equal in measure.
Explanation:
Corresponding Angles Definition:
Corresponding angles are pairs of angles that are in the same position at each intersection where a transversal crosses two parallel lines.
Property of Corresponding Angles:
When two parallel lines are cut by a transversal, the corresponding angles are always equal in measure. This means that if you have two parallel lines cut by a transversal, and you identify a pair of corresponding angles, they will have the same measure.
Proof:
To prove that corresponding angles are equal when two parallel lines are cut by a transversal, you can use the properties of alternate interior angles or alternate exterior angles. These angles are congruent, which leads to the conclusion that corresponding angles are also congruent.
Example:
For example, if you have two parallel lines cut by a transversal, and one pair of corresponding angles measures 60 degrees, then the other pair of corresponding angles will also measure 60 degrees.
Therefore, the correct answer to the question is that each pair of corresponding angles formed by two parallel lines cut by a transversal are equal in measure.
Understanding the concept of corresponding angles in parallel lines and transversals is crucial in geometry. When two parallel lines are cut by a transversal, several pairs of angles are formed. One important property is that corresponding angles are always equal in measure.
Explanation:
Corresponding Angles Definition:
Corresponding angles are pairs of angles that are in the same position at each intersection where a transversal crosses two parallel lines.
Property of Corresponding Angles:
When two parallel lines are cut by a transversal, the corresponding angles are always equal in measure. This means that if you have two parallel lines cut by a transversal, and you identify a pair of corresponding angles, they will have the same measure.
Proof:
To prove that corresponding angles are equal when two parallel lines are cut by a transversal, you can use the properties of alternate interior angles or alternate exterior angles. These angles are congruent, which leads to the conclusion that corresponding angles are also congruent.
Example:
For example, if you have two parallel lines cut by a transversal, and one pair of corresponding angles measures 60 degrees, then the other pair of corresponding angles will also measure 60 degrees.
Therefore, the correct answer to the question is that each pair of corresponding angles formed by two parallel lines cut by a transversal are equal in measure.
Community Answer
If two parallel lines are cut by a transversal, each pair of the corre...
It is property of corresponding angles they r always same
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If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. Can you explain this answer?
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If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. 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 If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. 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 If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. Can you explain this answer?.
If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. 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 If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. 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 If two parallel lines are cut by a transversal, each pair of the corresponding angles are _________ in measure.a)equalb)complimentaryc)unequald)supplementaryCorrect answer is option 'A'. Can you explain this answer?.
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