Question

Find the midpoint of side EF. Figure EFGH is shown. E is at negative 2, 3. F is at 1, 6. G is at 4, 3. H is at 1, 0. (−1, 4) (−0.75, 4.25) (−0.5, 4.5) (−0.25, 4.75)

Answer 1

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]

Answer 2

Hence, the mid-point of side EF is located at:

(-0.5,4.5)

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:

`e=(a+c)/(2),\ f=(b+d)/(2)`

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:

`e=(-2+1)/(2)\ ,\ f=(3+6)/(2)\\\\\\e=(-1)/(2)\ ,\ f=(9)/(2)\\\\\\e=-0.5\ ,\ f=4.5`

Hence, the mid-point of side EF is:

(-0.5,4.5)