The coordinates of the midpoint M of line CD are (17,23).
Midpoint is defined as the point lying in the middle of a line segment. It is equidistant from both the endpoints. It bisects the line segment.
In the given question, CD is the line segment with two points C and D.
Coordinates of point C is given as (24,18)
Coordinates of point D is given as (10,28)
The midpoint of a line segment can be found using the following formula:
( x , y ) = [ {( x1 + x2 ) / 2} , {( y1 + y2 ) / 2} ]
Using the given points in the question, we get
Point C = ( x1 , y1 )
Point D = ( x2 , y2 )
Midpoint M = ( x , y )
=> x1 = 24 , y1 = 18 , x2 = 10 , y2 = 28
Using the Midpoint formula, we get
x = ( x1 + x2 ) / 2
=> x = ( 24 + 10 ) / 2
=> x = 34 /2
=> x = 17
and,
y = ( y1 + y2 ) / 2
=> y = ( 18 + 28 ) / 2
=> y = 46 / 2
=> y = 23
Therefore, using the midpoint formula, we get the coordinates of the midpoint M of line CD as (17,23).
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