Sample quiz on midpoint of a line segment
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1. What is the midpoint of the line segment joining $(-1,2)$ and $(1,-2)$?
   
   $(-1,-2)$
   $(-2,-1)$
   $(0,0)$
   $(1,2)$
   
2. What is the midpoint of $(2,3)$ and $(-3,4)$?
   
   $(-\frac{1}{2},\frac{7}{2})$
   $(-\frac{1}{2},\frac{7}{4})$
   $(-\frac{1}{4},\frac{7}{4})$
   $(-\frac{1}{2},-\frac{7}{2})$
3. What is the midpoint of $(-a,b)$ and $(b,-a)$?
   
   $(\frac{b+a}{2},\frac{b-a}{2})$
   $(\frac{b-a}{2},\frac{b-a}{2})$
   $(\frac{b-a}{2},\frac{a-b}{2})$
   $(\frac{a-b}{2},\frac{b-a}{2})$
4. Find the center of a circle if one of its diameters has end points at $(8,9)$ and $(2,-1)$.
   
   $(5,5)$
   $(5,4)$
   $(3,5)$
   $(10,8)$
5. What is the midpoint of $(\frac{3}{5},2)$ and $(2,-\frac{1}{5})$?
   
   $(\frac{13}{5},\frac{9}{5})$
   $(\frac{13}{5},\frac{9}{10})$
   $(\frac{13}{10},\frac{9}{10})$
   $(\frac{8}{5},\frac{9}{10})$
6. What is the midpoint of $(a-b,2b)$ and $(2a+b,b)$?
   
   $(\frac{3a}{2},\frac{3b}{2})$
   $(\frac{3a}{4},\frac{3b}{4})$
   $(\frac{3a-b}{2},\frac{3b}{2})$
   $(\frac{3a+b}{2},\frac{3b}{2})$
7. One endpoint of the diameter of a circle is at $(2,3)$. Find the other endpoint, if the center is at $(4,1)$.
   
   $(3,2)$
   $(-1,2)$
   $(6,-1)$
   $(1,-6)$
8. Find where the diagonals of a square intersect if one of the diagonals has endpoints at $(1,2)$ and $(-3,4)$.
   
   $(1,6)$
   $(2,6)$
   $(-2,6)$
   $(-1,3)$
9. Find the midpoint of $(\frac{5}{7},\frac{3}{14})$ and $(\frac{2}{7},\frac{5}{14})$.
   
   $(1,\frac{2}{7})$
   $(\frac{1}{2},\frac{2}{7})$
   $(\frac{1}{2},\frac{1}{14})$
   $(\frac{1}{2},\frac{8}{7})$
10. Find the midpoint of $(0.1,-0.5)$ and $(\frac{1}{5},\frac{1}{2})$.
    
    $(\frac{3}{10},0)$
    $(\frac{3}{20},0)$
    $(\frac{3}{20},-1)$
    $(\frac{3}{10},1)$