Question

Of the coordinates of the points P,Q,R and S are such that PQ=QR=RS=SP and PR is not equal to QS then quadrilateral PQRS is?

Answer 1

Answer:

I think so it may be a parallelogram

Step-by-step explanation:

you pls draw a parallelogram and mark the sides as PQRS .the PQ and QR won't be equal in a parallelogram

Answer 2

Quadrilateral PQRS is a Rhombus.

Given,

PQ = QR = RS = SP.

PR is not equal to QS.

To Find,

Quadrilateral PQRS.

Solution,

Here, we have a quadrilateral having all sides equal as PQ = QR = RS = SP.

A quadrilateral having all sides equal can be a square or a rhombus.

But, the diagonals are not equal as PR ≠ QS.

As we know, a square has all diagonals equal. And the diagonals of the square intersect each other at 90°.

Also, the diagonals of a rhombus may be equal or may not be equal. Most of the time diagonals are not equal. Here, also the diagonals are not equal. So, the given quadrilateral may be a rhombus.

These are the characteristics of a quadrilateral called Rhombus.

Hence, quadrilateral PQRS is a Rhombus.

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