If a point C lies between two points A and B such that AC = BC, then p

1.	If a point C lies between two points A and B such that AC = BC, then prove that AC = \(\frac{1}{2}\)AB. Explain by drawing the figure.
Answer» Data: C lies between A and B such that AC = BC. To Prove: AC = \(\frac{1}{2}\)AB Proof : In this figure AC = BC. Adding AC on both sides, AC + AC = BC + AC (equals are added to equals) 2AC = BC + AC 2AC = AB (∵ BC + AC = AB) ∴ AC = AB.

If a point C lies between two points A and B such that AC = BC, then prove that AC = \(\frac{1}{2}\)AB. Explain by drawing the figure.

Answer»

Data: C lies between A and B such that AC = BC.

To Prove: AC = \(\frac{1}{2}\)AB

Proof : In this figure AC = BC.

Adding AC on both sides,

AC + AC = BC + AC (equals are added to equals)

2AC = BC + AC

2AC = AB (∵ BC + AC = AB)

∴ AC = AB.