Question

If on line segment AD there are 4 points A,B,C,D and Ac=Bd then prove Ab= Cd

Answer 1

Answer:

Hey mate!

Given,

AD is a line segment

A, B, C, D are the points on AD

To prove AB = CD

Now,

Also given,

AC = BD

=> AC - BC = BD - BC [Euclid's axiom ; equals subtracted from equals gives equals]

=> (AB + BC) - BC = (BC + CD) - BC

=> AB = CD

Hence proved!

I hope you understand and if further any questions, be free to ask!