Question

Midpoint and distance formula zombie worksheet

Answer 1

Consider two points in a two dimensional coordinate plane

$(x_{1},y_{1})\text { and } (x_{2},y_{2})$

As you know mid point of a line joining two points is the coordinate of the middle point of only that portion of line joining between two points.

[tex]\text   { Mid point of  }  (x_{1},y_{1})\text { and }  (x_{2},y_{2}) =(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

As we know distance formula gives the Distance between line joining two points in two dimensional coordinate system.It is always positive.

[tex]\text   { Distance formula between two points  }  (x_{1},y_{1})\text { and }  (x_{2},y_{2}) =\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Distance formula gives the distance between two points, whereas Mid point formula gives coordinate of the middle point.