Quadrilaterals Class 8 Assertion and Reasoning Questions

Quadrilaterals Class 8 Assertion and Reasoning Questions

Quadrilaterals Class 8 Assertion and Reasoning Questions

In each of the following questions, two statements have been given. One has been labelled as Assertion (A) and the other has been labelled as Reason (R). You have to choose the correct option, from the given four options.

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

(c) (A) is correct but (R) is not correct.

(d) (R) is correct but (A) is not correct.

1. (A): If AB = 4 cm, BC = 5 cm, CD = 6.5 cm, ∠B = 80° and ∠C = 105°, then we can construct the quadrilateral ABCD.

(R) : A quadrilateral can be constructed uniquely, if its three sides and two included angles are known.

Answer:

Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

2. (A) : A quadrilateral PQRS can be constructed, if PQ = 3.5 cm, QR = 4 cm, RS = 5 cm, PS = 4.5 cm and QS = 6.5 cm.

(R) : A quadrilateral can be constructed if its three sides and two diagonals are known.

Answer:

Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

3. (A): It is not possible to construct a parallelogram ABCD, if BC = 6 cm, CD = 4.5 cm and BD = 7.5 cm.

(R): A quadrilateral can be constructed if its four sides and a diagonal are known.

Answer:

(d) (R) is correct but (A) is not correct.

4. (A): Measures of five elements of a quadri-lateral can be used to construct a quadrilateral uniquely.

(R) : A unique quadrilateral ABCD can be constructed, if ∠A = 70°, ∠B = 120°, ∠C = 110°, ∠D = 60° and BC = 6 cm.

Answer:

(c) (A) is correct but (R) is not correct.

5. (A) : A kite ABCD cannot be constructed if AB = 4 cm, CD = 6 cm and BD = 8 cm.

(R): A quadrilateral can be constructed if its four sides and a diagonal are known.

Answer:

(d) (R) is correct but (A) is not correct.