Straight Lines ...

The points $$(-4,-4), (-1,-2)$$ and $$(x,-8)$$ are the vertices of a right triangle with the right angle at $$(-1,-2)$$. Find the value of $$x$$.

The perimeter of the triangle with vertices $$(1,3), (1,7)$$ and $$(4,4)$$ is

From the above figure, calculate the length of $$AG$$, if point $$G$$ is the center of rectangle $$BCEF$$. 

Find the possible co-ordinates of the fourth corner of a parallelogram if its three corners are located at $$(3, 3), (4, 4)$$, and $$(2, 1)$$.

In the XY-coordinate plane, point P is a distance of $$4$$ from the point $$(1, 1)$$. Which of the following could be P?

The distance between the points $$A(3,4)$$ and $$B(5,8)$$

The value of $$x$$ if the distance between the points $$(x,4)$$ and $$(-5,3)$$ is equal to $$5$$. 

In Figure 1, calculate the distance from the midpoint of segment $$AC$$ to the midpoint of segment $$BD$$.

Find the length of the hypotenuse of the right triangle whose vertices are given by the points $$(-2,1),(1,1)$$ and $$(1,2)$$

Find the distance between the points $$(2,3)$$ and $$(0,6)$$.