Name: Ordered Pairs
Uploaded: 2019-07-19
Duration: 9 min 30 s
Description: An ordered pair simply is the arrangement of numbers in a specific order. Watch this interesting video for more information. Are you ready to explore?

Question

Plot

A (- 3, 0)

,

B (0, 4)

and

C (3, 4)

on a graph paper. Plot a point

D

and write its coordinate if

A B C D

is a parallelogram. Find its area and perimeter

Accepted Answer

Given points $A (- 3, 0), B (0, 4)$ and $C (3, 4)$

It is given that we need to plot the point $D$ such that $A B C D$ forms a parallelogram.

We know that, in parallelogram, opposite sides are parallel and equal. The diagonals of a parallelogram bisect each other.

$\Rightarrow A D = B C$ and $A B = C D$

Using the distance formula,

$B C = \sqrt{{(3 - 0)}^{2} + 0^{2}} = 3$ units

$A D = 3$ units

To get the coordinate of $D$ such that $A D = 3$ units, we need to move $3$ units to the right of the coordinate $A$

Hence, the coordinate of $D$ is $(0, 0)$

Now we need to plot all these points on the cartesian plane.So, we get the parallelogram as shown below:

Perimeter of a parallelogram $= A B + B C + C D + A D$

Here $A B = C D = 5$ and $A D = B C = 3 units$

So perimeter $A B C D$ units.

Area of a parallelogram $= b \times h$

Here base is represented by $A D$ and height is represented by $B D$

$A D = 3$ units and $B D = 4$ units

Hence, area of a parallelogram $= 3 \times 4 = 12$ square units

Plot $A (- 3, 0)$ , $B (0, 4)$ and $C (3, 4)$ on a graph paper. Plot a point $D$ and write its coordinate if $A B C D$ is a parallelogram. Find its area and perimeter

Important Questions on Coordinate Geometry

Learn and Prepare for any exam you want !

Plot A-3, 0, B0, 4 and C3, 4 on a graph paper. Plot a point D and write its coordinate if ABCD is a parallelogram. Find its area and perimeter

Important Questions on Coordinate Geometry

Learn and Prepare for any exam you want !

Plot $A (- 3, 0)$ , $B (0, 4)$ and $C (3, 4)$ on a graph paper. Plot a point $D$ and write its coordinate if $A B C D$ is a parallelogram. Find its area and perimeter