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