Triangle ABC has vertices A(4,5), B(0,5), and C(3,-1). The triangle is translated 3 units to the left and 1 unit up.
What are the coordinates of B' after the translation?
(1,6)
(-3, 6)
(0,0)

Respuesta :

the answer is the second one
(-3,6)
left means subtract and up means plus so
0-3= -3
5+1=6

Translation involves moving a point along the coordinates

The coordinates of B' after the translation is (-3,6)

The translation rule is given as:

  • 3 units left
  • 1 unit up

This rule is represented as:

[tex](x,y) \to (x - 3, y + 1)[/tex]

The coordinate of point B is given as:

B = (0,5)

So, we have:

[tex](0,5) \to (0 - 3, 5 + 1)[/tex]

This gives

[tex](0,5) \to (-3, 6)[/tex]

Hence, the coordinates of B' after the translation is (-3,6)

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