Question 14 Marks
Find the coordinates of points $P, Q, R$ and $S$ in Figure.


Answer

Draw perpendiculars $PA, QB, RC$ and $SD$ from vertices $P, Q, R$ and $S$ on the $x-$axis.
Also ,draw perpendiculars.
$PE, QF, RG$ and $SH$ on the $y-$axis from these points.
$PE = 10$ units and $PA = 70$ units.
Therefore, the coordinates of vertex $P$ are $(10, 70).$
$QF = 12$ units and $QB = 80$ units
Therefore, the coordinates of vertex $Q$ are $(12, 80).$
$RG = 16$ units and $RC = 100$ units
Therefore, the coordinates of vertex $R$ are $(16, 100).$
$SH = 20$ units and $SD = 120$ units
Therefore, the coordinates of vertex $S$ are $(20, 120).$
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Draw perpendiculars $PA, QB, RC$ and $SD$ from vertices $P, Q, R$ and $S$ on the $x-$axis.
Also ,draw perpendiculars.
$PE, QF, RG$ and $SH$ on the $y-$axis from these points.
$PE = 10$ units and $PA = 70$ units.
Therefore, the coordinates of vertex $P$ are $(10, 70).$
$QF = 12$ units and $QB = 80$ units
Therefore, the coordinates of vertex $Q$ are $(12, 80).$
$RG = 16$ units and $RC = 100$ units
Therefore, the coordinates of vertex $R$ are $(16, 100).$
$SH = 20$ units and $SD = 120$ units
Therefore, the coordinates of vertex $S$ are $(20, 120).$