R K Bansal Solutions for Exercise 1: EXERCISE

The ordinate of a point is its $x-$coordinate.

The origin $\left(0,0\right)$ lies on the $x-$axis.

The point $\left(a,b\right)$ lies on the $y-$axis if $b=0$.

The co-ordinates of three vertices of a rectangle $ABCD$ are given. By plotting the given points; find the co-ordinates of the fourth vertex.

$A\left(2,0\right),B\left(8,0\right) \text{and} C\left(8,4\right)$

The co-ordinates of three vertices of a rectangle $ABCD$ are given. By plotting the given points; find the co-ordinates of the fourth vertex.

$A\left(4,2\right),B\left(-2,2\right) \text{and} D\left(4,-2\right)$

The co-ordinates of three vertices of a rectangle $ABCD$ are given. By plotting the given points find the co-ordinates of the fourth vertex.

$A\left(-4,-6\right),C\left(6,0\right) \mathrm{and} D\left(-4,0\right)$.

The co-ordinates of three vertices of a rectangle $ABCD$ are given. By plotting the given points; find the co-ordinates of the fourth vertex.

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

$A\left(-2,2\right),B\left(8,2\right) \text{and} C\left(4,-4\right)$ are the vertices of a parallelogram $ABCD$. By plotting the given points on a graph paper; find the co-ordinates of the fourth vertex $D$. Also, from the same graph, state the co-ordinates of the mid-point of the sides $AB$ and $CD$.