Maths · Geometry · chapter 6 of 14
Class 10 Maths Chapter 6: Triangles Assertion-reason questions with answers
2 assertion-reason questions on Triangles, each with its answer and the reason, written from the NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.
Question 1
Assertion (A): Any two equilateral triangles are similar. Reason (R): Every angle of an equilateral triangle is 60°, and triangles with equal corresponding angles are similar.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.
Both true; equal angles (AAA) are exactly why any two equilateral triangles are similar.
Question 2
Assertion (A): A line drawn parallel to one side of a triangle, meeting the other two sides at distinct points, divides them in the same ratio. Reason (R): Any line meeting two sides of a triangle divides them in the same ratio.
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Answer: (c) A is true, but R is false.
A is the Basic Proportionality Theorem. R is false: only a line parallel to the third side does this; a slanting line generally cuts the sides in different ratios.
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