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Transversal of Parallel Lines

Which of the ...

Question

Which of the following options is true for the figure shown?

A

Line l is not parallel to line m

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B

Line q is parallel to line n

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C

Line p is parallel to line t

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D

Line p is parallel to line q

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Solution

The correct option is D
Line p is parallel to line q

Consider lines p and q cut by the transversal l

Alternate angles are equal and each measures $105^{o}$

If alternate angles are equal, then the lines are parallel.

Hence p is parallel to q

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(a) Two lines parallel to a third line are parallel
(b) Two lines perpendicular to a third line are parallel
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(d) Two lines perpendicular to a plane are parallel
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(i) If two lines in the same plane do not interest, then they much be parallel.
(ii) Distance between two parallel lines is not same every where.
(iii) If m ⊥ i, n ⊥ i and m ≠ n, then m ∥ n.
(iv) Two non-intersection coplanar rays are parallel.
(v) If ray AB ∥ line , then line segment AB ∥ m.
(vi) If line AB ∥ line , then line segment AB ∥ m.
(vii) No two parallel segments intersect.
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Summary

MATHEMATICS

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Transversal of Parallel Lines

Standard VII Mathematics

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