Answered

The following triangle CAT is transformed using a translation:

C = (0, 0)

A = (-2, 1)

T = (-1, 4)

Which could be coordinates of C'A'T' after the translation?

AC=(0,0), A=(2,1), T=(1,4)
BC=(2,0), A=(0,1), T=(1,4)
CC=(0,0), A=(−1,−2), T=(−4,−1)
DC=(−2,0), A=(−1,0), T=(−4,1)

Verified Answer :

nobillionaireNobley

From the given options the only possible coordinate of C'A'T' is option A. C=(0,0), A=(2,1), T=(1,4).

C=(0,0), A=(2,1), T=(1,4) is optained by refrecting the original triangle across the y-axis.

frika

Consider options A and C. In these options point C stays stationary, this means that points A and T should stay stationary too. But it is not so.

Options A and C are false.

Consider option B:

  • C(0,0)→C'(2,0) {here the translation is (x,y)→(x+2,y)}
  • A(-2,1)→A'(0,1)  {here the translation is (x,y)→(x+2,y)}
  • T(-1,4)→T'(1,4)  {here the translation is (x,y)→(x+2,y)}

As you can see made translation is the same for all three points, then option B is correct.

Consider option D:

  • C(0,0)→C'(-2,0) {here the translation is (x,y)→(x-2,y)}
  • A(-2,1)→A'(-1,0)  {here the translation is (x,y)→(x+1,y-1)}
  • T(-1,4)→T'(-4,1)  {here the translation is (x,y)→(x-3,y-3)}

As you can see made translation is not the same for all three points, then option D is false.

Answer: correct choice is B.

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