If a point $C$ lies between two points $A$ and $B$ such that $A C = B C$ , then:

A C = A B

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A C = \frac{1}{2} A B

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A B = \frac{1}{2} A C

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A C = \frac{1}{3} A B

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Solution

The correct option is A $A C = \frac{1}{2} A B$
If a point $C$ lies between two points $A$ and $B$ such that $A C = B C$ ,

then $C$ is midpoint of $A B$ .

$A B = A C + B C$

$\Rightarrow A B = A C + A C$

$\Rightarrow A B = 2 A C$

$\Rightarrow A C =$ $\frac{1}{2}$ $A B$ .

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

The correct option is A AC=12ABIf a point C lies between two points A and B such that AC=BC,then C is midpoint of AB.AB=AC+BC⇒AB=AC+AC⇒AB=2AC⇒AC= 12 AB.

If a point $C$ lies between two points $A$ and $B$ such that $A C = B C$ , then:

The correct option is A $A C = \frac{1}{2} A B$
If a point $C$ lies between two points $A$ and $B$ such that $A C = B C$ ,

then $C$ is midpoint of $A B$ .

$A B = A C + B C$

$\Rightarrow A B = A C + A C$

$\Rightarrow A B = 2 A C$

$\Rightarrow A C =$ $\frac{1}{2}$ $A B$ .