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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′ ?

Respuesta :

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
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

so distance between (1,5) and (-2,1) is
[tex]D=\sqrt{(-2-1)^2+(1-5)^2}[/tex]
[tex]D=\sqrt{(-3)^2+(-4)^2}[/tex]
[tex]D=\sqrt{9+16}[/tex]
[tex]D=\sqrt{25}[/tex]
[tex]D=5[/tex]

the distance is 5 units

Answer:

5 units

Step-by-step explanation:

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