The distance between two points is determined using the formula:
[tex]D=\sqrt{((x_2-x_1)^2\text{ }+(y_2-y_1)^2)}[/tex]This formula will be used in solving the given problem.
1. A(3,5) and B(3,6)
[tex]\begin{gathered} x_1=3 \\ x_2=3 \\ y_1=5 \\ y_2=\text{ 6} \end{gathered}[/tex][tex]\begin{gathered} D\text{ = }\sqrt{((3-3)^2\text{ }+(6-5)^2)} \\ =\text{ }\sqrt{0^2\text{ }+1^2} \\ =\text{ }\sqrt{1} \\ D=\text{ 1} \end{gathered}[/tex]2. C(-2,-3) and D(-2,-6)
[tex]\begin{gathered} D\text{ = }\sqrt{((-2-(-2))^2\text{ }+(-6-(-3))^2} \\ =\text{ }\sqrt{((0)^2\text{ }+(-3)^2)} \\ =\text{ }\sqrt{9} \\ D=\text{ 3} \end{gathered}[/tex]3. E(-3,1) and F(-3,-1)
[tex]\begin{gathered} D\text{ = }\sqrt{(-3-(-3))^2\text{ }+(-1-1)^2} \\ =\text{ }\sqrt{0^2\text{ }+(-2)^2} \\ =\text{ }\sqrt{4} \\ D=\text{ 2} \end{gathered}[/tex]