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Question

Which of the following statements are true (I) and which are false (F)? Give reasons. 
(i) If two lines are intersected by a transversal, then corresponding angles are equal. 
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal. 
(iii) Two lines perpendicular to the same line are perpendicular to each other. 
(iv) Two lines parallel to the same line are parallel to each other. 
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.


Solution

(i) False. Because if lines are parallel, then it is possible. 
(ii) True. 
(iii) False. Not perpendicular but parallel to each other. 
(iv) True. 
(v) False. Sum of interior angles on the same side is 1800 not are equal. 
 


Mathematics
RD Sharma
Standard IX

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