Question
Kushagra is drawing a railway track on paper as a part of his project. He asked Sarosh to draw a line parallel to the given line. Sarosh said that we can only construct a line parallel to the given line using alternate angles concept. Is this true?
Answer: Option B
:
B
We can construct a line parallel to a given lineby using alternate angles as well as corresponding angles concept. So, the statement is false.
If two parallel lines are intersected by a transversal:
(i) alternate interior angles are equal i.e., 2=8and3=5
(ii) alternate exterior angles are equal i.e., 1=7and4=6
(iii) corresponding angles are equal i.e., 1=5,4=8,2=6and3=7
(iv) co-interior angles are supplementary i.e., 2+5=180∘and3+8=180∘
A line can be constructed parallel to a given line by making any of the above mentioned pairs of angles equal.
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:
B
We can construct a line parallel to a given lineby using alternate angles as well as corresponding angles concept. So, the statement is false.
If two parallel lines are intersected by a transversal:
(i) alternate interior angles are equal i.e., 2=8and3=5
(ii) alternate exterior angles are equal i.e., 1=7and4=6
(iii) corresponding angles are equal i.e., 1=5,4=8,2=6and3=7
(iv) co-interior angles are supplementary i.e., 2+5=180∘and3+8=180∘
A line can be constructed parallel to a given line by making any of the above mentioned pairs of angles equal.
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