A triangle with coordinates A(1, 1), B(4, 2), C(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle

Respuesta :

Answer:

[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]

Step-by-step explanation:

Given:

[tex]A = (1,1)\\B=(4,2)\\C=(3,5)[/tex]

A translation upward or downward affects the [tex]y[/tex] value of a coordinate while a translation left or right affects the [tex]x[/tex] value of a coordinate.

We are translating the whole triangle down three units, so we subtract all the[tex]y[/tex] values by 3.

We are also translating the whole triangle to left left five units, so we will subtract all the [tex]x[/tex] values by 5.

[tex]A = (1-5,1-3)\\B=(4-5,2-3)\\C=(3-5,5-3)[/tex]

New Coordinates:

[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]

Answer:

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Step-by-step xplanation:

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