Question

show that every line segment has only one mid point​

Answer 1

Answer:

Given:- In ∆ ABCD &E are mid- point of∆ABC

To prove:- 1] DE||BC

2] DE=1/2 BC

Construction:- through C draw a line|| to AB Extend. DE to point F. join CF

Proof:- In ∆ ADE & ∆ CEF

|_ADE=|_CFE( alternate angle)

|_AED=|_CEF (vertically opposite angles)

AE=EC(given)

∆ADE=~∆CEF