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Collinear Points

If a point ...

Question

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

2 A C

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3 A C

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4 A C

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A C

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Solution

The correct option is A $2 A C$
Point $C$ is between $A$ and $B$ .
$∴ A C + C B = A B$

But $A C = B C$

$A C + A C = A B$

$2 A C = A B$

$∴ A B = 2 A C$

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