Q41 of 109 Page 318

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



In a rhombus ABCD, the diagonal AC bisects ∠A as well as ∠C.



The diagonals of a rhombus bisect each other at right angles.


It is given that,

In a rhombus ABCD, the diagonal AC bisects ∠A as well as ∠ C which is true


And we know that, the diagonals of a rhombus bisect each other at right angles.


Hence, both assertion and reason are true but reason is not the correct explanation of assertion


∴ Option (b) is correct

More from this chapter

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39

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



If three angles of a quadrilateral are 130o, 70o, and 60o, then the fourth angle is 100o.



The sum of all the angle of a quadrilateral is 360o.


 40

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



ABCD is a quadrilateral in which P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram.



The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.


 42

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



Every parallelogram is a rectangle.



The angle bisectors of a parallelogram form a rectangle.


 43

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



The diagonals of a ||gm bisect each other.



If the diagonals of a ||gm are equal and intersect at right angles, then the parallelogram is a square.