Question

If a point O lies between two points P and R such that PO=OR then prove that PO=1/2PR

Answer 1

PO+OR = PR
PO+PO = PR
PO = 1/2PR

Answer 2

Answer:  Proved.

Step-by-step explanation:  Given that the point 'O' lies in between the points P and R such that PO = OR.

This is also shown in the attached figure. From the figure, we can say that the point 'O' dives the line segment PR into two equal parts.

We have,

$PR=PO+OR\\\\\Rightarrow PR=PO+PO,~\textup{since PO=OR}\\\\\Rightarrow PR=2PO\\\\\Rightarrow PO=\dfrac{1}{2}PR.$

Hence proved.