contestada

Which rule represents the translation from the pre-image,
AABC, to the image, AA'B'C'?
A
• (x, y) = (x + 7, y + 6)
(x, y) = (x + 7, y-6)
o (x, y) = (x-6, y + 7)
(x, y) = (x + 6, y + 7)
BC

Which rule represents the translation from the preimage AABC to the image AABC A x y x 7 y 6 x y x 7 y6 o x y x6 y 7 x y x 6 y 7 BC class=

Respuesta :

musiclover10045

The transformed shaped shifted 7 units to the right so add 7 to x and it shifted 6 units down so subtract 6 from y.

The answer is (x,y) = (x+7) (y-6)

facundo3141592

The correct translation is the second one:

[tex]T_{7,-6}(x, y) = (x + 7, y - 6)[/tex]

 

How to find the translation?

The same translation will affect all the points, such that we have:

[tex]T_{a,b}(x, y) = (x + a, y + b)[/tex]

To study the translation we can compare the same vertex in the original triangle and in the translated triangle, if we use the top vertex we will get:

  • A = (-3, 4)
  • A' = (4, -2).

The values of a and b of the translation will be given by:

(a, b) = A' - A = (4,  -2) - (-3, 4) = (4 + 3, -2 - 4) = (7, -6)

Then the translation is:

[tex]T_{7,-6}(x, y) = (x + 7, y - 6)[/tex]

So the correct option is the second one.

If you want to learn more about translations, you can read:

https://brainly.com/question/11468584

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