Coordinate Geom...

Find the coordinates of the point $$X$$ that divides the join of $$A(7, 4)$$ and $$B(-3,6)$$ in the ratio $$1:3$$

In the $$xy$$-coordinate plane, the coordinates of three vertices of a rectangle are $$\left(1, 5\right)$$, $$\left(5, 2\right)$$ and $$\left(5, 5\right)$$. What are the coordinates of the fourth vertex of the rectangle?

In the diagram, $$E$$ is the midpoint of line $$DG$$ and $$F$$ is the midpoint of line $$EG$$.
The coordinates of $$F$$ are:

The coordinates of points $$P(-2, 2), Q(3, 2) $$ and $$R(3, -2)$$ are the vertices of a rectangle $$PQRS$$`. What are the coordinates of S? 

On the Cartesian plane, $$Q$$ is the midpoint of the straight line $$PR$$
Find the values of $$x$$ and $$y$$.

The diagram is on a Cartesian plane.
If the midpoints of $$PQ$$ and $$RS$$ are the same, the coordinates of $$S$$ are:

$$M$$ is the midpoint of the straight line $$PQ$$. If $$P(-2,9)$$ and $$M$$ is $$(4,3)$$, find the coordinates of $$Q$$.

Identify the true statement.

In the diagram, $$PQRS$$ is a straight line. $$R$$ is the midpoint of $$QS$$ and $$Q$$ is the midpoint of $$PS$$. $$S$$ is $$(6,5)$$ and $$R$$ is $$(3,5)$$. Find the coordinates of $$P$$.

On the Cartesian plane, $$Q$$ is the midpoint of the straight line $$PR$$.
Find the value of $$h$$.