1. ## Midpoint

Show that the midpoint of the line segment joining the points (a,b) and (c,d) is $\displaystyle ( \frac {a+c}{2} , \frac {b+d}{2} )$

May be I'm just thinking too much, do I just simply use the midpoint formula here? Or do I have to do something more?

Show that the midpoint of the line segment joining the points (a,b) and (c,d) is $\displaystyle ( \frac {a+c}{2} , \frac {b+d}{2} )$

May be I'm just thinking too much, do I just simply use the midpoint formula here? Or do I have to do something more?
You need to show that it is on the line between the points and that it is equidistant from both.

RonL

Show that the midpoint of the line segment joining the points (a,b) and (c,d) is $\displaystyle ( \frac {a+c}{2} , \frac {b+d}{2} )$

May be I'm just thinking too much, do I just simply use the midpoint formula here? Or do I have to do something more?
1)Take for example (0,1) and (1,0) to illustrate.
2)Plot these point
3)Draw a line segment from (0,1) down and draw a line segment from (1,0) left.
4)Those intersect as (0,0)
5)By similar triangles if (x,y) is midpoint then x is midpoint of vertical line segment and y is midpoint of horizontal line segment.

Show that the midpoint of the line segment joining the points (a,b) and (c,d) is $\displaystyle ( \frac {a+c}{2} , \frac {b+d}{2} )$