Question

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a

विकल्प

• parallelogram

• rectangle

• square

• rhombus

Answer 1

Figure can be drawn as:

Let ABCD be a quadrilateral such that P,Q,R and S are the mid-points of side AB,BC,CD and DA respectively.

In ΔABC,P and Q are the mid-points of AB and BC respectively.

Therefore,

PQ || AC and  `PQ = 1/2 AC`

Similarly, we have

 RS || ACand  `RS = 1/2 AC`

Thus,

 PQ || RS and PQ = RS

Therefore, PQRSis a parallelogram.

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a

parallelogram.

Hence the correct choice is (a).