Identifying a Parallelogram: Identification by one pair of sides

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

Yes

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

Yes

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

No

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

No

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

Yes

Look at the quadrilateral ABCD:

Is the quadrilateral a parallelogram?

No

Look at the quadrilateral ABCD:

Is the quadrilateral a parallelogram?

Yes

The quadrilateral ABCD is shown below.

AB||CD

$$

Is it a parallelogram?

No.

The quadrilateral ABCD is shown below.

AB||CD

Is the quadrilateral a parallelogram?

Yes

The quadrilateral ABCD is shown below.

AC||BD

AB||CD

Is the quadrilateral a parallelogram?

Yes.

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

No

Given the quadrilateral ABCD:

AC||BD

Is it possible to determine that the quadrilateral is a parallelogram?

No