Question

In the given figure, points B and C divide line segment AD as shown. What is the length of the line segment whose end points are the midpoints of line segments $AB$ and $CD$?

• A. $15$
• B. $13$
• C. $11$
• D. $8$

Answer 1

Answer: (A)

$15$

Let the coordinate of A be $(0,0)$.

Then, B will be $(10,0)$, C will be $(14,0)$ and D will be $(26,0)$.

Let the midpoint of AB be $E$.

Thus, the coordinates of E will be $E(5,0)$.

Similarly, let the midpoint of CD be $F$.

Then, the coordinates of F will be $(20,0)$.

Thus, the length of EF will be $=20-5=15$ units.