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Question 19 ASSERTION (A): Line joining the midpoints of two sides of triangle is parallel to the third side. REASON (R): If a line divides two sides of a triangle in the same ratio then it is parallel to the third side. (A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (C) Assertion (A) is true but reason (R) is false. (D) Assertion (A) is false but reason (R) is true.Checking Assertion Line joining the midpoints of two sides of triangle is parallel to the third side. This is proved from Basic Proportionality theorem, and it is true. Thus, Assertion is true Checking Reason If a line divides two sides of a triangle in the same ratio then it is parallel to the third side. This is inverse of Basic Proportionality Theorem, and it is true Thus, Reason is true. Is Reason correct explanation for Assertion? We use Basic Proportionality Theorem to prove Assertion Therefore, Reasoning is correct explanation for Assertion So, Assertion is true Reasoning is true and, Reasoning is correct explanation for Assertion So, the correct answer is (a)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo