Question

A 10m x 10m 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 A Set 3

$\text{Given:}1unit=2m$
$⟹5units=10m$

$\text{So, the dimensions of the correct scaled}\text{drawing are:}5units\times 5units$

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

$Set1:A(3,7);B(3,3);C(7,3);D(7,7)$


$\text{For the coordinates given in set 1, the}$ $\text{dimensions of the drawing are}:$
$4units\times 4units$

$Set2:A(3,7);B(3,4);C(6,4);D(6,7)$


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

$Set3:A(2,8);B(2,3);C(7,3);D(7,8)$


$\text{For the coordinates given in set 3, the}$ $\text{dimensions of the drawing are}:$
$5units\times 5units$

$Set4:A(4,6);B(4,4);C(6,4);D(6,6)$


$\text{For the coordinates given in set 4, the}$ $\text{dimensions of the drawing are}:$
$2units\times 2units$

$\text{Hence, the possible set of vertices for}$
$\text{the correct scaled drawing is given in}$
$\text{set 3.}$