Question

In Figure 1, calculate the distance from the midpoint of segment $AC$ to the midpoint of segment $BD$.

• A. 1.118
• B. 1.414
• C. 1.803
• D. 2.236
• E. 2.828

Answer 1

The correct option is B 1.414

Midpoint of $AC$ is $(0,\frac{3}{2})$.......[hint: using mid-point formula i.e, $x=(x_1+x_2)/2,y=(y_1+y_2)/2$ ]

Midpoint of $BD$ is $(-1,1/2)$

Distance between those two midpoints is $\sqrt{{\left(1\right)}^2+{(\frac{3}{2}-\frac{1}{2})}^2}=\sqrt{1+1}=\sqrt{2}=1.414$