The algebraic rule that best describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is P'(x, y) = (x + 8, y + 7). (Correct answer: A)
How to determine the translation of a quadrilateral on a Cartesian plane
According to the image attached we understand that the quadrilateral ABCD is transformed into quadrilateral A'B'C'D' by applying pure translation. Translations are a kind of rigid transformation, defined as a transformation applied on a geometric locus such that Euclidean distance is conserved at every point of the construction.
Vectorially speaking, translations are described by the following formula:
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.
By direct comparison, we conclude that the quadrilateral ABCD is translated 8 units in the +x direction and 7 units in the +y direction. Hence, the algebraic rule that describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is:
P'(x, y) = (x, y) + (8, 7)
P'(x, y) = (x + 8, y + 7)
To learn more on translations: https://brainly.com/question/17485121
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