Parallel and Intersecting Lines Class 7 Assertion and Reason Questions

Parallel and Intersecting Lines Class 7 Assertion and Reason Questions

Parallel and Intersecting Lines Class 7 Assertion and Reason Questions

Question 1.

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): In the given figure, ∠r = 48°.

(R): Vertically opposite angles are equal.

Answer:

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

2. (A): In the given figure, ∠1 and ∠6 are not corresponding angles.

(R): Lines l and m are not parallel.

Answer:

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

3. (A): In the figure, since lines l and m are parallel, therefore, ∠1 = ∠2.

(R): If two parallel lines are intersected by a transversal, then alternate angles are equal.

Answer:

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

4. (A): Both the angles of a pair of vertically opposite angles can be obtuse.

(R): Sum of the angles of a linear pair is 180°.

Answer:

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

5. (A): In the figure, since lines l and m are parallel, therefore, ∠1 = ∠6.

(R): If a transversal intersects two parallel lines, then interior angles on the same side of the transversal are equal.

Answer:

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