Review question

# Can we find the coordinates of this tilted rectangle? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6366

## Question

In the rectangle $ABCD$, $A$ and $B$ are the points $(4,2)$ and $(2,8)$ respectively.

Given that the equation $AC$ is $y=x-2$, find

1. the equation of $BC$,

2. the coordinates of $C$,

3. the coordinates of $D$,

4. the area of the rectangle $ABCD$.

This question needs an exact method that goes beyond accurate drawing.