Question

a point C lies between two points A and B such that AC is equal to CD prove that AC is equal to Half A B​

Answer 1

Hey dear!!!

AC might be equal to CB not to CD..

As we are not mentioned about the point D...

Thanks!!!

Answer 2

Answer:

Given: Point C lies Between Point A and Point B.

           AC = CB

To prove: AC is half of AB

Proof,

Consider the figure attached.

We are given that AC = CB

So using an axiom which states that Equals are added to Equals are Equal.

.i.e., Add AC.

⇒ AC + AC = CB + AC

⇒ 2AC = AB    (from figure)

$\implies AC\,=\,\frac{AB}{2}$

Hence proved.