Question

Points $A(5,3),B(2,3)$ and $D(5,4)$ are three vertices of a rectangle ABCD. Plot these points on a graph paper and the coordinates of the vertex C are $(2,m)$. The value of $m$ is:

Answer 1

We plot the points A, B & D.

It is given that $\square ABCD$ is a rectangle.

So, we have $AB\parallel CD$ & $AD\parallel BC$.

$BC$ & $CD$ meet at C.

The co-ordinates of C from the graph are $(2,4)$.