Translations -Geometry

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D' in the image are (9, -8)?

A. (13, -23)

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

C. (x, y) → (x - 3, y + 5)

Trapezoid L'M'N'P' was constructed using trapezoid LMNP. For the transformation to be a translation, which statements must be true? Select four options.

A. LL'=PP' B. LL'=MM' C. Trapezoid LMNP is congruent to trapezoid L'M'N'P'. E. All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

Rectangle ABCD has vertices A(-6, -2), B(-3, -2),C(-3. -6), and D(-6, -6). The rectangle is translated so that the coordinates of the image are A'(-10, 1), B'(-7,1),C'(-7, -3), and D'(-10, -3). Which rule was used to translate the image?

A. T-4, 3(x, y)

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are (-9, 2), what are the coordinates of F'?

B. (-6, -6)

Rectangle EFGH is translated according to the rule T-5, 9(x, y). If the coordinates of the pre-image of point H are (-2, -3), what are the coordinates of H'?

B. (-7, 6)

Triangle ABC was translated according to the rule (x, y) → (x + 1.5, y - 3.5) to create the image ΔA'B'C' shown on the coordinate plane. Which graph shows the pre-image, ΔABC?

D

Triangle ABC is translated according to the rule (x, y) → (x + 2, y - 8). If the coordinates of the pre-image of point B are (4, -5), what are the coordinates of B'?

D. (6, -13)

A triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to write this rule?

D. (x, y) → (x + 8, y - 4)

If a translation of T2, -7(x, y) is applied to ΔABC, what are the coordinates of B'?

D. If a translation of T2, -7(x, y) is applied to ΔABC, what are the coordinates of B'?