Question

Which image describes the translation of pre - image ABCD to the transformed image A’ B’ C’ D’?A) (x, y) ➝ (x - 2, y - 3)B) (x, y) ➝ (x - 3, y - 2)C) (x, y) ➝ (x + 2, y + 3)D) (x, y) ➝ (x + 3, y + 2)

Answer 1

Answer:

x, y)➝(x - 3, y - 2)

Option B is correct

Explanations:

Step 1: Determine the coordinates of the vertices of ABCD

A(-1, 4), B(2, 3), C(1, 1), D(-3, 3)

Step 2: Determine the coordinates of the vertices of A'B'C'D'

A'(-4, 2), B'(-1, 1), C'(-2, -1), D'(-6, 1)

Step 3: Determine the translation of the x and y coordinates of ABCD to the x and y coordinates of A'B'C'D'

Note that there is a difference of 3 in the x coordinate, and a difference of 2 in the y-coordinate.

Therefore, the rule of translation is:

(x, y)➝(x - 3, y - 2)