The area of a triangle having vertices $A(0,0), B(4,0)$ and $C(0,6)$ is:

Show that the point $(5, 5)$ is the midpoint of the line segment joining $(3, 5)$ and $(7, 5)$.

State whether the following statement is true or false. Justify your answer.
Point $P (-4, 2)$ lies on the line segment joining the points $A (-4, 6)$ and $B (-4, -6)$.

The coordinates of a point dividing the line segment joining $A(8, 10)$ and $B(4, 12)$ from $A$ in the ratio $1:1$ are......

The fourth vertex $D$ of a parallelogram $ABCD$ whose three vertices are $A(-2,3)$,$B(6,7)$,and $C(8,3)$ is

In $\Delta ABC$,$A-M-B$,$A-N-C$ and $\overline{MN} \parallel \overline{BC}$. If $MN = 3$ and $BC = 7$,then $M$ divides $\overline{AB}$ from $A$ in the ratio.......