Question

If M is the midpoint of$\overline{AB}$andAM=12 thenAB=▁(?).

Short answer

If M is the midpoint of $\overline{AB}$, then $AB=24$ .

Step-by-step solution

Step 1. Find the property of the midpoint of a line in geometry.

The midpoint divides the line into two equal halves.

Step 2. Use the property.

M is the midpoint of $\overline{AB}$. So, Mdivides $\overline{AB}$into two equal parts such that $AM=MB$or $AB=2AM$.

Step 3. Calculate the length of the line.

$\begin{array}{c}AB=2AM\\ =2\times 12\\ =24\end{array}$

Therefore, the length of $\overline{AB}$is 24.