Question

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Select all the rules that apply to the transformation. Two quadrilaterals graphed on a coordinate plane. A B C D has vertices at A 2 comma 4, B 4 comma 4, C 5 comma 2, and D 2 comma 1. A prime B prime C prime D prime has vertices at A prime negative 4 comma negative 2, B prime negative 2 comma negative 2, C prime negative 1 comma negative 4, and D prime negative 4 comma negative 5. A. T⟨–6, –6⟩ (x, y) = (x − 6, y − 6) B. 6 units down; 6 units left C. 6 units up; 6 units right D. T⟨6, 6⟩ (x, y) = (x + 6, y + 6) E. T⟨–6, 6⟩ (x, y) = (x − 6, y + 6)

Answer 1

All the rules that apply to the transformation include the following:

A. T⟨–6, –6⟩ (x, y) = (x − 6, y − 6).

B. 6 units down; 6 units left.

In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, as well as for the same distance.

In this exercise, we would apply a translation of 6 units to the left and 6 units down to quadrilateral ABCD, in order to determine the coordinates of its image as follows;

(x, y) → (x - 6, y - 6)

A (2, 4) → (2 - 6, 4 - 6) = A' (-4, -2).

B (4, 4) → (4 - 6, 4 - 6) = B' (-2, -2).

C (5, 2) → (5 - 6, 2 - 4) = C' (-1, -2).

D (2, 1) → (2 - 6, 1 - 6) = D' (-4, -5).

Missing information:

Select all the rules that apply to the transformation.

A. T⟨–6, –6⟩ (x, y) = (x − 6, y − 6)

B. 6 units down; 6 units left

C. 6 units up; 6 units right

D. T⟨6, 6⟩ (x, y) = (x + 6, y + 6)

E. T⟨–6, 6⟩ (x, y) = (x − 6, y + 6)