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Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
Statement A (Assertion) : All regular polygons such as equilateral triangle, squares etc. are similar.
Statement R (Reason): 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.
  • ✓
    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 and 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.
✓

Answer

Correct option: A.
Both assertion (A) and reason ( $R$ ) are true and reason $(R)$ is the correct explanation of assertion $(A)$.
(a) : Two polygons of the same number of sides are similar if their corresponding angles are equal and corresponding sides are proportional.
$\because$ In equilateral triangles or squares, each angle are equal and sides are also proportional. Therefore, all regular polygons are similar.
$\therefore \quad$ Assertion and Reason both are true and Reason is the correct explanation of Assertion.

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