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

Answer:

E(3.75,-2.5)

G(-0.75,-3)

Step-by-step explanation:

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

$\left(\dfrac{-3+6}{2},\dfrac{-1+(-3)}{2}\right)=\left(\dfrac{3}{2},-2\right).$

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

$\left(\dfrac{\frac{3}{2}+6}{2},\dfrac{-2+(-3)}{2}\right)=\left(\dfrac{15}{4},-\dfrac{5}{2}\right)=(3.75,-2.5).$

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

$\left(\dfrac{-3+6}{2},\dfrac{-3+(-3)}{2}\right)=\left(\dfrac{3}{2},-3\right).$

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

$\left(\dfrac{\frac{3}{2}+(-3)}{2},\dfrac{-3+(-3)}{2}\right)=\left(-\dfrac{3}{4},-3\right)=(-0.75,-3).$

Answer 2

Answer:

The correct answer is

F (3.75,-2.5)

G (-0.75,-3)