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Triangle T is translated to Triangle T '. What is the translation from T to
T '?

(A.) 3 units left

(B.) 3 units right

(C.) 5 units left

(D.) 5 units right ​

Triangle T is translated to Triangle T What is the translation from T to T A 3 units leftB 3 units right C 5 units leftD 5 units right class=

Respuesta :

luisejr77

Answer: OPTION C.

Step-by-step explanation:

Observe the figure.

You can identify that the  vertices of the triangle T are:

[tex](2,1),(1,2),(4,1)[/tex]

And the vertices of the triangle T' are:

[tex](-3,1),(-4,2),(-1,1)[/tex]

You can notice that the y-coordinates of the triangle T and the y-coordinates of the triangle T' are equal, but the x-coordinates change; these are translated "k" units to the left.

You can pick the x-coordinates of the vertices [tex](2,1)[/tex] and [tex](-3,1)[/tex] and write the following equation:

[tex]2+k=-3[/tex]

Solving for "k", you get:

[tex]k=-3-2\\\\k=-5[/tex]

Therefore, the translation from T to T' is 5 units left.

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