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Congruence — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSCongruence1 Mark
MCQ
Assertion (A): Two circles having the same circumference are always congruent.
Reason (R): Congruent triangles have equal areas.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
    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: B.
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
(b): Circumference of a circle with radius $r$ is $C=2 \pi r$.
So, if two circles have the same circumference then they have the same radius and therefore they are congruent.
$\therefore A$ is true.
Congruent triangles always have equal areas.
$\therefore R$ is also true but R is not the correct explanation of A .

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