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Randy draws triangle ABC on the coordinate plane with vertices A(7, –4), B(10, 3), and C(6, 1). He then translates the figure so the coordinates of the image are A′(5, 1), B′(8, 8), and C′(4, 6). What rule did he use to draw the image? T–5, 2(x, y) T–2, 5(x, y) T2, –5(x, y) T5, –2(x, y)

Respuesta :

Answer:

B. T–2, 5(x, y)

Step-by-step explanation:

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MrRoyal

Translation involves moving a shape away from its current location.

The rule to draw the image is [tex]T_{<-2,5>}(x,y)[/tex]

The coordinates are given as:

[tex]A = (7,-4) \\ B =(10,3) \\ C = (6,1)[/tex]

and

[tex]A' = (5,1) \\ B =(8,8) \\ C = (4,6)[/tex]

We can use points A and A' to determine the rule of translation

[tex]A = (7, - 4)[/tex] and [tex]A' = (5,1)[/tex]

Subtract the coordinates of A from A'

[tex](x,y) = (5,1) - (7,-4)[/tex]

Rewrite as:

[tex](x,y) = (5-7,1+4)[/tex]

[tex](x,y) = (-2,5)[/tex]

Hence, the transformation rule is:

[tex]T_{<-2,5>}(x,y)[/tex]

Read more about translations at:

https://brainly.com/question/12463306

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