Question

In the diagram, points $P$ and $Q$ are the vertices of a quadrilateral $PQRS$.
Given that the coordinates of $R$ and $S$ are $(8,0)$ and $(4,-2)$ respectively, the figure $PQRS$ is likely to be a:

• A. Parallelogram
• B. Rhombus
• C. Trapezium
• D. Kite

Answer 1

The correct option is A Parallelogram

As from figure we can see that,

$PS=QR=4$, $PS\parallel QR$ and

$PQ=RS=\sqrt{2^2+4^2}=\sqrt{20}$, $PQ\parallel SR$

Therefore, $PQRS$ is a parallelogram.

Hence, A is the correct option.