Review question

Ref: R8748

Suggestion

In the quadrilateral $ABCD$, the points $A$, $B$ and $D$ are at $(3, 3)$, $(0, -1)$ and $(6, 2)$ respectively. The line $BD$ bisects the line $AC$ at right angles at the point $M$. Find the equation of $BD$ and of $AC$.

Remember what the connections between the lines $AC$ and $BD$ are. How can you use this?

Calculate

1. the coordinates of $M$,
2. the coordinates of $C$,

Can you make use of part (i) when answering part (ii)?

1. the area of the quadrilateral $ABCD$.

How can we break $ABCD$ into shapes whose areas we do know how to calculate?