Answer:
[tex]\sqrt{5}\ units[/tex]
Step-by-step explanation:
we know that
The rule of the translation is equal to
[tex](x,y)-----> (x+2,y+1)[/tex]
That means
The translations is [tex]2[/tex] units to the right and [tex]1[/tex] unit up
Let
[tex](x,y)[/tex]-------> the coordinates of point B
[tex](x+2,y+1)[/tex]------> the coordinates of point B'
Find the distance
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
substitute
[tex]d=\sqrt{((y+1)-y)^{2}+((x+2)-x)^{2}}[/tex]
[tex]d=\sqrt{(1)^{2}+(2)^{2}}[/tex]
[tex]d=\sqrt{5}\ units[/tex]
