Question

How can a parallelogram be formed by using paper folding
a. By finding diagonal of the quadrilateral.
b. By joining mid points of sides of a quadrilateral
By finding angle bisectors
d. None of these​

Answer 1

Answer:By finding diagonal of the quadrilateral.

Step-by-step explanation:

Answer 2

Answer:

By joining the midpoints of sides o a quadrilateral, a parallelogram can be formed. Therefore, the correct option is (b)

Step-by-step explanation:

For example in figure ABCD quadrilateral and P, Q, R, and S are midpoints of AB, BC, CD, and AD respectively.

Now, in triangle ACD

S and R are the midpoints of AD and CD respectively.

Therefore, by using the midpoint theorem

SR || AC ................................(1)

And

$SR = \frac{1}{2}AC$ ...........................(2)

Similarly

In triangle ABC

PQ || AC ...............................(3)

$PQ = \frac{1}{2}AC$ ...........................(4)

Using equations (2) and (4)

PQ = SR ...............................(5)

Using equations (1) and (3)

PQ || SR ...............................(6)

Using equations (5) and (6)

PQRS is a parallelogram

Therefore, the correct option is (b)