Assertion (A): The straight line drawn through the mid-point of one side of a triangle and parallel to another side bisects the third side.

Reason (R): If a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts.

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): In the given figure, the diagonals of quadrilateral bisect each other at right angle. Then △AOB ≅ △COB.

Reason (R): Two right-angled triangles are congruent, if the hypotenuse and one side of one triangle are equal to the hypotenuse and corresponding side of the other triangle.

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): Using the information in the given figure, we get : ∠PQR = ∠PSR = 90°

Reason (R):

By SSS, △PQR = △PSR
⇒ ∠PQR = ∠PSR
Since, ∠PQR + ∠PSR ≠ 180°
∴ ∠PQR = ∠PSR ≠ 90°

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): A, B and C are three points. If AB = 8 cm, BC = 12 cm and AC = 25 cm. Points A, B and C do not form triangle ABC.

Reason (R):

AB + BC = 8cm + 12 cm = 20 cm
and AC = 25 cm
∴ AB + BC ≯ AC

Points A, B and C do not form triangle ABC.

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.