Sample quiz on length of a line segment
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1. Find the length of the line segment joining $(-1,2)$ and $(1,3)$.
   
   $5$
   $\sqrt{5}$
   $2$
   $1$
   
2. What is the length of the line segment joining the origin to the point $(-6,8)$?
   
   $28$
   $\sqrt{28}$
   $\sqrt{10}$
   $10$
3. Find the distance between $(1,5)$ and $(1,8)$.
   
   $\sqrt{3}$
   $\sqrt{10}$
   $13$
   $3$
4. Find the distance between $(\frac{1}{4},3)$ and $(-\frac{3}{4},4)$.
   
   $\sqrt{8}$
   $\sqrt{2}$
   $\frac{\sqrt{5}}{2}$
   $\sqrt{50}$
5. Find the distance between $(\frac{2}{7},\frac{3}{7})$ and $(\frac{3}{7},\frac{2}{7})$.
   
   $0$
   $\frac{2}{7}$
   $\frac{\sqrt{2}}{7}$
   $\frac{\sqrt{2}}{49}$
6. How many point(s) is(are) a distance of $3$ units from the origin, $(0,0)$?
   
   infinite number of points
   one million points
   just one point
   no point at all
7. For what value(s) of $a$ is the distance between $(a,1)$ and $(0,4)$ equal to $7$?
   
   $a=\pm 24$
   $a=\pm 40$
   $a=\pm \sqrt{40}$
   $a=-2$
8. For what value(s) of $b$ is the distance between $(1,b)$ and $(-2,3)$ equal to $5$?
   
   $b=4$
   $b=4$ or $b=-4$
   $b=1$ or $b=-7$
   $b=7$ or $b=-1$
9. What is the distance between $(0.1,0.2)$ and $(0.2,0.1)$?
   
   $0.1\sqrt{2}$
   $0.1\sqrt{3}$
   $\sqrt{3}$
   $\sqrt{2}$
10. Find the distance between $(a,-a)$ and $(-a,a)$.
    
    $\sqrt{8a}$
    $a\sqrt{8}$
    $8\sqrt{a}$
    $2a$