The diagram shows the quadrilateral $ABCD$ in which point $A$ is $(-1, 2)$ and point $C$ is

Question

The diagram shows the quadrilateral $ABCD$ in which point $A$ is $(-1, 2)$ and point $C$ is $(8.5, 4)$. The point $P(6.5, 8)$ lies on $AD$ such that $AP : PD = 3 : 2$. The midpoint of $BC$, point $M$ lies on the $x$-axis and directly below point $P$. Find the coordinates of $D$, $M$ and $B$.[5] Calculate the area of the quadrilateral $ABCD$.[2]

Accepted Answer

(a) $D=(11.5,12),\ M=(6.5,0),\ B=(4.5,-4)$. (b) $69$ square units.

2024 GESS PRELIMS P1 Q9

2024 GESS PRELIMS P1 Q9

Solution:

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