2.1 Translations

The rule as a mapping for the translation of a rectangle is (x, y) → (x - 2, y + 7). Which describes this translation?

a translation of 2 units to the left and 7 units up

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'?

(-7, 6)

if a translation of (x, y) → (x + 6, y - 10) is applied to figure ABCD, what are the coordinates of D'?

(1, -12)

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)?

(13, -23)

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

(x, y) → (x - 3, y + 5)

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?

(x, y) → (x - 8, y + 4)

Which rule represents the translation from the pre-image, ABCD, to the image, A'B'C'D'?

T2, 1(x, y)

Triangle ABC was translated according to the rule T4.5, -6.2(x, y) to form A'B'C' as shown. What are the coordinates of point C of the pre-image?

(-5.5, 3.2)

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'?

(-6, -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