Question

if B is the midpoint of AC and C is the midpoint of BD where ABCD lie on a straight line say why AB is = CD​

Answer 1

Answer:

AB = CD

Step-by-step explanation:

B is mid point of the line AC

thus, BA=BC .

AnD CIS mid point of BD thus

CB = DB

since BC = BC ( SAME SIDE)

BA = DB = BC.....

there fore BA = DB in line ABCD...

Answer 2

Concept:

Midpoint of a line: The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Given:

B is the midpoint of AC and C is the midpoint of BD, ABCD lies on the same line.

To prove:

We need to prove that AB=CD

Solution:

Since we know that

AB=BC             ---------(1)

BC=CD            ---------(2)

Then from equation (1) and (2) we can say

AB=CD

Therefore it is proved that AB=CD