By using the definition of rigid translation, we conclude that the coordinates of the new vertices of the quadrilateral are, respectively: X'(x, y) = (- 1, 2), Y'(x, y) = (- 3, 1), Z'(x, y) = (- 2, - 2), W'(x, y) = (0, 6)
What are the coordinates of the quadrilateral by using rigid translation?
In this problem we must determine the coordinates of the image by means of a transformation rule. A rigid translation is used herein, whose definition is used below:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
- P(x, y) - Original point
- T(x, y) - Translation vector
- P'(x, y) - Resulting point
If we know that X(x, y) = (4, 0), Y(x, y) = (2, - 1), Z(x, y) = (3, - 4), W(x, y) = (5, 4) and T(x, y) = (- 5, 2), then the coordinates of the vertices of the new quadrilateral are:
X'(x, y) = (4, 0) + (- 5, 2)
X'(x, y) = (- 1, 2)
Y'(x, y) = (2, - 1) + (- 5, 2)
Y'(x, y) = (- 3, 1)
Z'(x, y) = (3, - 4) + (- 5, 2)
Z'(x, y) = (- 2, - 2)
W'(x, y) = (5, 4) + (- 5, 2)
W'(x, y) = (0, 6)
By using the definition of rigid translation, we conclude that the coordinates of the new vertices of the quadrilateral are, respectively: X'(x, y) = (- 1, 2), Y'(x, y) = (- 3, 1), Z'(x, y) = (- 2, - 2), W'(x, y) = (0, 6)
To learn more on rigid transformations: https://brainly.com/question/1761538
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