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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