Answer:
The coordinates of E are (-2,-1)and the coordinates of G are (1,0).
Step-by-step explanation:
In a triangle, if a line connecting the midpoints of two sides then it is called a midsegment and that midsegment is parallel the third sides.
It is given that EG is parallel to BC, therefore E is the midpoint of BD and G is the midpoint of CD.
From the given figure it is noticed that the vertices of the triangle are B(-3,1), C(3,3) and D(-1,-3).
Midpoint formula
[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
E is the midpoint of BD.
[tex]E=(\frac{-3-1}{2},\frac{1-3}{2})=(-2,-1)[/tex]
Therefore coordinates of E are (-2,-1).
G is the midpoint of CD.
[tex]G=(\frac{3-1}{2},\frac{3-3}{2})=(1,0)[/tex]
Therefore coordinates of G are (1,0).
