Respuesta :
The midpoint can be found using the midpoint formula.
[x1+x2/2 , y1+y2/2]
[-2+1/2 , 3+6/2]
[-1/2 , 9/2]
[-0.5 , 4.5]
The midpoint is [0.5 , 4.5]
[x1+x2/2 , y1+y2/2]
[-2+1/2 , 3+6/2]
[-1/2 , 9/2]
[-0.5 , 4.5]
The midpoint is [0.5 , 4.5]
Answer:
Hence, the mid-point of side EF is located at:
(-0.5,4.5)
Step-by-step explanation:
We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
[tex]e=\dfrac{a+c}{2},\ f=\dfrac{b+d}{2}[/tex]
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
[tex]e=\dfrac{-2+1}{2}\ ,\ f=\dfrac{3+6}{2}\\\\\\e=\dfrac{-1}{2}\ ,\ f=\dfrac{9}{2}\\\\\\e=-0.5\ ,\ f=4.5[/tex]
Hence, the mid-point of side EF is:
(-0.5,4.5)
