Question

A 6m x 6m square is plotted on a graph at a scale, 1 unit = 2m. The correct set of coordinates for the figure on the graph is

• A. Set 3
• B. Set 4
• C. Set 1
• D. Set 2

Answer 1

The correct option is B Set 4

$\text{Given:}1unit=2m$
$⟹3units=6m$

$\text{So, the dimensions of the correct scaled}\text{drawing are:}3units\times 3units$

$\text{Plotting and examining each set of vertices,}\text{we find:}$

$Set1:$


$\text{For the coordinates given in set 1, the}$ $\text{dimensions of the drawing are}:$
$6units\times 6units$

$Set2:$


$\text{For the coordinates given in set 2, the}$ $\text{dimensions of the drawing are}:$
$2units\times 2units$

$Set3:$


$\text{For the coordinates given in set 3, the}$ $\text{dimensions of the drawing are}:$
$2units\times 6units$

$Set4:$


$\text{For the coordinates given in set 4, the}$ $\text{dimensions of the drawing are}:$
$3units\times 3units$

$\text{Hence, the possible set of vertices for}$
$\text{the correct scaled drawing is given in}$
$\text{set 4.}$