Question

Assertion (A): A line drawn parallel to any one side of a triangle intersects the other two sides in the same ratio.

Reason (R): Parallel lines cannot be drawn to any side of a triangle.

Options

• Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are correct but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Assertion (A) is true, but Reason (R) is false.

Explanation:

In case of assertion: According to Thales theorem, if a line is drawn parallel to one side of a triangle intersecting the other two sides at distinct points, then the other two sides are divided in the same ratio. So, assertion is true.

In case of reason: Parallel lines can be drawn along any side of the triangle. So, reason is false.