The values of the variables associated ot translation operations are (w, x, y, z) = (3, 1, 0, 2 / 3).
<h3>How to determine the values of the variables associated to translation operations</h3>
Herein we find two translation cases of points set on Cartesian plane. Translations are rigid operations of the form:
P'(x, y) = P(x, y) + T(x, y)
Where:
- P(x, y) - Original point
- P'(x, y) - Resulting point
- T(x, y) - Translation vector
Now we proceed to determine the values of the variables w, x, y, z behind each translation operation, substitute on each component and solve the resulting formula:
T(x, y) = A'(x, y) - A(x, y)
(2 · x + 1, 4) - (- 1, w) = (4, 1)
(2 · x + 2, 4 - w) = (4, 1)
(x, w) = (1, 3)
T(x, y) = B'(x, y) - B(x, y)
(3, 3 · z) - (8 · y - 1, 1) = (4, 1)
(4 - 8 · y, 3 · z - 1) = (4, 1)
(y, z) = (0, 2 / 3)
To learn more on translations: brainly.com/question/12463306
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