Question

if o is the midpoint of the line segment mn. p and q are midpoints of the line segment mo and on respectively. prove that mn =4mp and mn=4qn​

Answer 1

Answer:

mp=po

oq=qn

mn=2om=2on

om=2mp=2po=on=2oq=2qn

mn=2om=2(mp+po)=2(mp+mp)=2(2mp)=4mp

{proved}

mn=2on=2(qn+oq)=2(qn+qn)=2(2qn)=4qn

{proved}