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Triangle ABC is translated to image A'B'C'. In this translation, A(5, 1) maps to A'(6, -2). The coordinates of B' a
-1, 0). What are the coordinates of B?
30

Triangle ABC Is Translated To Image ABC In This Translation A5 1 Maps To A6 2 The Coordinates Of B A1 0 What Are The Coordinates Of B30 class=

Sagot :

Dinofish32idn

Answer: (-2, 3)

Step-by-step explanation:

A translation is when all the points of an image are moved by a certain distance horizontally and a certain distance vertically. If we can find the exact rule of translation from point A and A' (A prime, the point A after the translation), then we can do the reverse to B' to get the coordinate for B.

Finding the Rule of Translation

We can find how A turns into A' by essentially doing A' - A.

[tex]x: 6 - 5 = 1\\y: -2 - 1= -3[/tex]

Now we know that the translation rule is to move the image 1 unit to the right and 3 units down. Let's apply the reverse of this translation to B'.

Reversing the Translation

B' will turn into B by doing the reverse of the translation: moving the image 1 unit to the left and 3 units up. Let's apply this:

[tex]x: -1 - 1 = -2\\y: 0 + 3 = 3[/tex]

The coordinates of B are (-2,3).

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