Question

Assertion (A): R, S, D and E are midpoints of OС, ОВ, АВ, and AC, respectively; then DERS is a parallelogram.

Reason (R): DS//AO//ER and DS = ER = `1/2` AO.

पर्याय

• A is true, R is false.

• A is false, R is true.

• Both A and R are true, and R is the correct reason for A.

• Both A and R are true, and R is the incorrect reason for A.

Answer 1

Both A and R are true, and R is the correct reason for A.

Explanation:

Assertion (A) is true because quadrilateral DERS has a pair of opposite sides (DS and ER) that are both parallel and equal in length, which is a defining property of a parallelogram. Reason (R) is also true and correctly explains Assertion (A) by stating that DS || ER and DS = ER = `1/2` AO, confirming that equal and parallel opposite sides make DERS a parallelogram.