Respuesta :

xero099

The coordinates of the vertices of the translated triangle are A'(x, y) = (1, 8), B'(x, y) = (2, 6) and C'(x, y) = (- 1, 6).

How to translate a triangle by transformation rules

Graphically speaking, triangles can be generated by knowing its three vertices. In this question we must apply a kind of rigid transformation known as translation, whose formula is:

P'(x, y) = P(x, y) + T(x, y)     (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point
  • T(x, y) - Translation vector

If we know that A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2) and T(x, y) = (-2, 4), then the new coordinates are:

A'(x, y) = (3, 4) + (- 2, 4)

A'(x, y) = (1, 8)

B'(x, y) = (4, 2) + (- 2, 4)

B'(x, y) = (2, 6)

C'(x, y) = (1, 2) + (- 2, 4)

C'(x, y) = (- 1, 6)

Remark

The statement presents typing mistakes, correct form is:

Translate the triangle with the vector <- 2, 4>, then enter the new coordinates:

Original coordinates - A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2).

To learn more on rigid transformations: https://brainly.com/question/1761538

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