Question

Given the coordinates of the endpoints of line segment GH as the following, G(4, 10)

and H(–2, –6).
Mohamed was trying to find the coordinates of the midpoint of line segment GH.
Below is his answer, check whether he is correct or not, if not, spot his mistakes.

Mohamed’s Answer:
The formula of the midpoint is: M = x1+ x22, y1+ y22
M = 4 +(-2)2, 10 + 62
M = (1, 8)

Answer 1

(-1,-2)

Explanation:

The given coordinates are ,

• G ( 4 , 10)
• H ( -2 , -6)

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)

Hence the midpoint is (-1,-2) .