1. Find the coordinates of the midpoint of the line segment joining the points A(-5, 4) and B(7, -8)
1. Find the coordinates of the midpoint of the line segment joining the points A(-5,4) and B(7,-8)
Solution:
The given points are A(-5,4),B(7,-8)
:. x_1=-5,y_1=4,x_2=7,y_2=-8
Coordinates of mid-point =((x_1+x_2)/2,(y_1+y_2)/2)
=((-5+7)/2,(4-8)/2)
=((2)/2,(-4)/2)
=(1,-2)
Mid point is (1,-2)
2. Find the coordinates of the midpoint of the line segment joining the points A(2,1) and B(1,-3)
Solution:
The given points are A(2,1),B(1,-3)
:. x_1=2,y_1=1,x_2=1,y_2=-3
Coordinates of mid-point =((x_1+x_2)/2,(y_1+y_2)/2)
=((2+1)/2,(1-3)/2)
=((3)/2,(-2)/2)
=(3/2,-1)
Mid point is (3/2,-1)
3. Find the coordinates of the midpoint of the line segment joining the points A(2,1) and B(5,3)
Solution:
The given points are A(2,1),B(5,3)
:. x_1=2,y_1=1,x_2=5,y_2=3
Coordinates of mid-point =((x_1+x_2)/2,(y_1+y_2)/2)
=((2+5)/2,(1+3)/2)
=((7)/2,(4)/2)
=(7/2,2)
Mid point is (7/2,2)
4. Find the coordinates of the midpoint of the line segment joining the points A(3,-5) and B(1,1)
Solution:
The given points are A(3,-5),B(1,1)
:. x_1=3,y_1=-5,x_2=1,y_2=1
Coordinates of mid-point =((x_1+x_2)/2,(y_1+y_2)/2)
=((3+1)/2,(-5+1)/2)
=((4)/2,(-4)/2)
=(2,-2)
Mid point is (2,-2)
5. Find the coordinates of the midpoint of the line segment joining the points A(1,-1) and B(-5,-3)
Solution:
The given points are A(1,-1),B(-5,-3)
:. x_1=1,y_1=-1,x_2=-5,y_2=-3
Coordinates of mid-point =((x_1+x_2)/2,(y_1+y_2)/2)
=((1-5)/2,(-1-3)/2)
=((-4)/2,(-4)/2)
=(-2,-2)
Mid point is (-2,-2)
6. Find the coordinates of the midpoint of the line segment joining the points A(-7,-3) and B(5,3)
Solution:
The given points are A(-7,-3),B(5,3)
:. x_1=-7,y_1=-3,x_2=5,y_2=3
Coordinates of mid-point =((x_1+x_2)/2,(y_1+y_2)/2)
=((-7+5)/2,(-3+3)/2)
=((-2)/2,(0)/2)
=(-1,0)
Mid point is (-1,0)
This material is intended as a summary. Use your textbook for detail explanation.
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