Transform pentagon ABCDE according to (x, y) + (x - 2, y - 3). Which new coordinates are correct for pentagon A'B'C'D'E
A) A'(-1,3)
B) B'(3, 4)
C) C'(6,-1)
D) D'(2,-4)
E) E'(-6, -5)

Transform pentagon ABCDE according to x y x 2 y 3 Which new coordinates are correct for pentagon ABCDE A A13 B B3 4 C C61 D D24 E E6 5 class=

Respuesta :

The correct coordinates are A'(-1,3) and C'(6,-1)

Transformation of coordinates

From the given figure, we have the coordinates ABCDE under the translation (x, y) + (x - 2, y - 3)

Given the following coordinate points (1, 6), B(6, 6), C(8, 2), D(4, -2) and E(-2, -5). The resulting coordinate after transformation will be:

  • A = (1-2, 6-3) = (-1, 3)
  • B = (6-2, 6-3) = B'(4, 3)
  • C = (8-2, 2-3) = C'(6,-1)
  • D =  (4-2, -2-3) D'(2,-5)
  • E =  (-2-2, -5-3) = E'(-4, -8)

Hence the correct coordinates are A'(-1,3) and C'(6,-1)

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