Question

If a point $C$ be the mid-point of a line segment $AB$, then $AC=BC=(...)AB$.

• A. $3$
• B. $\frac{1}{2}$
• C. $2$
• D. $\frac{1}{4}$

Answer 1

The correct option is B $\frac{1}{2}$

If $C$ is the midpoint of $AB$, then $C$ divides $AB$ in equal segments. Those segments are $AC$ and $AB$.

therefore, $AC=BC$.

$AC+BC=AB$ (As AC and BC are the segments of $AB$)

$\Rightarrow 2AC=2BC=AB\Rightarrow AC=BC=\frac{1}{2}AB$