Midpoint Formula

Key Questions

  • What is the Midpoint Formula?

    Answer:

    The coordinate of Midpoint #:((x_1+x_2)/2, (y_1+y_2)/2)#

    Explanation:

    Midpoint Formula :

    #"If "A(x_1,y_1) and B(x_2,y_2) " are the two point on the line ,"#

    #"then midpoint M of the line segment " bar(AB) " is :"#

    #M((x_1+x_2)/2, (y_1+y_2)/2)#

    Please see the image.

    enter image source here

    maganbhai P. · 2 · Jul 24 2018
  • How do you apply the midpoint formula when the coordinates are fractions?

    Answer:

    You find the midpoint in exactly the same way with integers and fractions.

    Explanation:

    You find the midpoint in exactly the same way with integers and fractions, no matter whether they are common fractions, improper fractions or decimal fractions.

    Add the two #x#- values together and divide by #2#

    Add the two #y#-values together and divide by #2#

    This will give a point, #M(x,y)#

    EZ as pi · 1 · Mar 4 2018
  • How do use midpoint formula to find an endpoint?

    If you know one endpoint #(x_1,y_1)# and the midpoint #(a,b)#, but you do not know the other endpoint #(x_2,y_2)#, then by rewriting the midpoint formula:

    #{(a={x_1+x_2}/2 Rightarrow 2a=x_1+x_2 Rightarrow x_2=2a-x_1),(b={y_1+y_2}/2 Rightarrow 2b=y_1+y_2 Rightarrowy_2=2b-y_1):}#

    So, the unknown endpoint can be found by

    #(x_2,y_2)=(2a-x_1,2b-y_1)#

    I hope that this was helpful.

    Wataru · 4 · Oct 29 2014
  • How does the midpoint formula involve finding averages?

    The midpoint #M# of the points #(x_1,y_1)# and #(x_2,y_2)# is found by

    #M=({x_1+x_2}/2,{y_1+y_2}/2)#.

    As you can see above, the each coordinate of #M# is the average of the corresponding coordinates of the endpoints.

    I hope that this was helpful.

    Wataru · 2 · Nov 1 2014

Questions

Radicals and Geometry Connections