Sail E0 Webinar
Question
Identify Playfair's  postulate from the following :
Options:
A .  If a transversal cuts two distinct straight lines in such a way that the sum of two interior angles on the same side of the transversal is equal to 180o, then the two lines are parallel to each other.
B .  If a straight line meets two other lines, so as to make the two interior angles on one side of it together less than two right angles, the other straight lines will meet if produced on that side on which the angles are less than two right angles.
C .  Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line.
D .  If a transversal cuts two parallel lines, then the sum of two interior angles on the same side of the transversal is equal to 180°.
Answer: Option C
:
C
Playfairwas a Scottish mathematician who's postulate is a simple equivalent version of the parallel postulate of Euclid.Playfair's postulate states that- ' Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line.'

Was this answer helpful ?
Next Question

Submit Solution

Your email address will not be published. Required fields are marked *

Latest Videos

Latest Test Papers