The coordinates of the vertices of the <em>translated</em> triangle are A'(x, y) = (1, 8), B'(x, y) = (2, 6) and C'(x, y) = (- 1, 6).
<h3>How to translate a triangle by transformation rules</h3>
Graphically speaking, triangles can be generated by knowing its three vertices. In this question we must apply a kind of <em>rigid</em> 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)
<h3>Remark</h3>
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: brainly.com/question/1761538
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