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The Mid-Point Theorem

If C is the...

Question

If $C$ is the mid-point of the line segment $A B, D$ and $E$ are the mid-point of the segments $A C$ and $B C$ respectively, what is the length of $A C$ ?

A

4 A D

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B

3 A D

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C

2 A D

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D

A D

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Solution

The correct option is C $2 A D$
$A C = C B$
$A D = D C$
$C E = E B$
$A C = A D + D C$
As $A D = D C \Rightarrow A C = 2 A D$

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