Question

Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

Answer 1

5 units

Explanation:

Answer 2

translated
so the distance from A to A' should be the same as form B to B'

distance formula
distance between (x1,y1) and (x2,y2) is

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

so distance between (1,5) and (-2,1) is

`D=√((-2-1)^2+(1-5)^2)`

`D=√((-3)^2+(-4)^2)`

`D=√(9+16)`

`D=√(25)`

`D=5`

the distance is 5 units