10th Class Mathematics Triangles Question Bank Assertion And Reason (MCQs) - Triangles

  • question_answer
    Directions (Q. Nos. 1-17): In the following questions, a statement of assertion (A) is followed by a statement of reason (R).  Mark the correct choice as:
    Assertion (A): All regular polygons of the same number of sides such as equilateral triangles, squares etc. are similar.
    Reason (R): Two polygons of the same number of sides are said to be similar, if their corresponding angles are equal and lengths of corresponding sides are proportional.

    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.

    Correct Answer: A

    Solution :

    [a] Two polygons of the same number of sides are similar if their corresponding angles are equal and corresponding sides are proportional,
    In equilateral triangles or squares, each angle are equal and sides are also proportional, therefore, all regular polygons are similar.
    \[\therefore \] Assertion : True; Reason : True and it is the correct explanation of assertion.


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