Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′. Which rule describes this transformation?

The rule that describes the transformation of Quadrilateral PQRS into quadrilateral P′Q′R′S′ is (x + 5, y + 3) and this can be determined by using the rules of transformation.

Given :

Quadrilateral PQRS has translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.

The following steps can be used in order to determine the rules that describe the given transformation:

Step 1 - Rules of transformation is used in order to translate quadrilateral PQRS 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.

Step 2 - If any point let (x,y) in the x-y plane is translated by a factor of 'a' towards the right so, that point becomes (x + a, y).

Step 3 - If any point let (x,y) in the x-y plane is translated by a factor of 'b' in the upward direction so, that point becomes (x, y + b).

Step 4 - Now, if in the given quadrilateral P is a point let (a,b) then after translating the point P in 5 units to the right and 3 units up to create P'(a + 5, b + 3).

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step-by-step explanation: