Question

In the given diagram abc is a right angle with DG CB segment AB is divided into four equal parts . The coordinates of point F are (_,_) and the coordinates of point G are (_,_)

Answer 1

The correct answer is

F (3.75,-2.5)

G (-0.75,-3)

Answer 2

E(3.75,-2.5)

G(-0.75,-3)

Explanation:

Point E is the midpoint of the segment AB, then it has coordinates

`\left((-3+6)/(2),(-1+(-3))/(2)\right)=\left((3)/(2),-2\right).`

Point F is the midpoint of the segment EB, then it has coordinates

`\left(((3)/(2)+6)/(2),(-2+(-3))/(2)\right)=\left((15)/(4),-(5)/(2)\right)=(3.75,-2.5).`

Let S be the midpoint of segment CB, then it has coordinates

`\left((-3+6)/(2),(-3+(-3))/(2)\right)=\left((3)/(2),-3\right).`

Point G is the midpoint of segment CS, then its coordinates are

`\left(((3)/(2)+(-3))/(2),(-3+(-3))/(2)\right)=\left(-(3)/(4),-3\right)=(-0.75,-3).`