Plotting a Point in the Plane if Its Coordinates are Given

Three vertices of a rectangle are $P(1, 3), Q(1, -1)$ and $R(7, -1)$. Plot these points on the graph paper and hence, use it to find the coordinates of the fourth vertex. Also, find its area.

Find the centre of the circle passing through the points $A\left(6, -6\right), B\left(3, -7\right)$ and $C(3, 3)$. Also find its radius. 

The two opposite vertices of a square $ABCD$ are $A(-1, 2)$ and $C(3, 2)$. Find the coordinates of $B$ and $D$.

You are lucky enough to have found the only surviving copy of a treasure map left by the notorious pirate Short James Platinum - scourge of the seven seas. He has buried many pieces of treasure on the island - each in different location.

The perpendicular distance of the place Smuggler's Cove from the $y-$axis is

Point $\mathrm{P}(0, 4)$ lies along _____ axis.

In which quadrant is the point (2, 2) located?

The ordinate of the point $(-5,\mathrm{}3)$ is _____.

Image of a point $(0,3)$ about $x$ -axis is

$A(1,7)$, $C(7,13)$ and $D(1,13)$ are the vertices of a square ABCD. Plot these points and find the fourth vertex B. Also, find the coordinate of the point of intersection (P) of the diagonal.

$A(-4,4)$, $B(6,4)$, $C(2,-2)$ are the three vertices of a parallelogram ABCD. Plot these points on the graph and find the fourth vertex D of the parallelogram ABCD. Also, from the graph, state the coordinates of mid points of the sides AD and BC.

Plot the points $A(3,5)$, $B(-2,5)$, $C(-2,2)$ and $D(3, 2)$. Write the type of quadrilateral ABCD. Also find the area of quadrilateral ABCD.

Plot the point P$(5,-4)$. Draw PM and PN perpendiculars to x-axis and y-axis respectively. Write the coordinates of points M and N.

In which quadrants are the following points located:
A$(-5, 7)$, B$(2, 4)$, C$(-5,-8)$, D $(4,-3)$

Plot the following points on the same graph paper:
A$(4, 6)$, B$(-2, 2)$, C $(2, 0)$, D $(-1, -1$), E$(1, 7)$, F$(6, 2)$, G$(1, -1)$ and H$(-2, 2)$

What is the distance of point $A(16,20)$ from $x$ -axis?

What is the perpendicular distance of the point $A(15,19)$ from the $y$ -axis?

The three vertices of a rectangle $ABCD$ are $A(2,2), B(-3,2)$ and $C(-3,5) .$ Plot these points on a graph paper and find the coordinates of $D$. Also, find the area of rectangle $ABCD$.

In the adjoining figure find the ordinate of the point $\mathrm{P}$.

Determine the abscissa of point $P$ in the given figure:

In the adjoining figure, find the ordinate of the point $P$.