Solutions to this question by accurate drawing will not be accepted. In the diagram, $ABCD$ is a t

Question

Solutions to this question by accurate drawing will not be accepted. In the diagram, $ABCD$ is a trapezium where $AB$ and $CD$ are parallel to the $x$-axis and $AD$ is parallel to the $y$-axis. $B$ is the point $\left( 8,-4 \right)$ and $C$ is the point $\left( 0,4 \right)$. The line $BC$ cuts the $x$-axis at $Q$. Find the gradient of the line $BC$. Hence, write down the equation of the line $BC$. Find the coordinates of $Q$. Given that the area of the trapezium $ABCD$ is $56$ square units, find the coordinates of the point $D$. Hence, write down the equation of the line $AD$.

Accepted Answer

(a) $-1$ (b) $y=-x+4$ (c) $Q=(4,0)$ (d) $D=(-3,4)$ (e) $x=-3$

Coordinate Geometry - Gradient of a Straight Line

Coordinate Geometry - Gradient of a Straight Line

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