O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 1: Exercise

Plot the following points on a graph paper using the same pair of axes and the same scale for each one.

$\left(-4,15\right)$

Plot the following points on a graph paper using the same pair of axes and the same scale for each one.

$\left(7,-6\right)$

The coordinates of the three vertices of a rectangle are given. By plotting the given points, find in each case, the coordinates of the fourth vertex.

$A(4,2), B(-2,2)$ and $D\left(4,-2\right)$.

The coordinates of the three vertices of a rectangle are given. By plotting the given points, find the coordinates of the fourth vertex.

$B(10,4), C(0,4)$ and $D\left(0,-2\right)$

$A(-2,4), C(4,10)$ and $D\left(-2,10\right)$ are the vertices of a square $ABCD$. Use graphical method to find the coordinates of the fourth vertex $B$.

$\mathrm{A}(-2,4), \mathrm{C}(4,10)$ and $\mathrm{D}\left(-2,10\right)$ are the vertices of a square $\mathrm{ABCD}$. Use graphical method to find the coordinates of the fourth vertex $\mathrm{B}$. Also, find 

the coordinates of the midpoint of $BC$.

$\mathrm{A}(-2,4), \mathrm{C}(4,10)$ and $\mathrm{D}\left(-2,10\right)$ are the vertices of a square $\mathrm{ABCD}$. Use graphical method to find the coordinates of the fourth vertex $\mathrm{B}$. Also, find 

The coordinates of the midpoint of $\mathrm{CD}$.

$\mathrm{A}(-2,4), \mathrm{C}(4,10)$ and $\mathrm{D}\left(-2,10\right)$ are the vertices of a square $\mathrm{ABCD}$. Use graphical method to find the coordinates of the fourth vertex $\mathrm{B}$. Also, find 

the coordinates of the point of intersection of the diagonals of the square $\mathrm{ABCD}$.