(a)[4]
Find the equations for $AC$ and $OB$.
(b)[3]
Find, by calculation, the coordinates for $B$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram depicts a kite $OABC$, with $AC$ as the axis of symmetry. The coordinates of $A$ and $C$ are $(0,4)$ and $(8,0)$, respectively, and $O$ is the origin.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Determines equation of $AC$ as $y=-\frac12x+4$ by using the gradient and the given point.” …
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