Question

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

Answer 1

Option (4)

Explanation:

From the figure attached,

Quadrilateral ABCD has been translated to form an image A'B'C'D' by shifting 'a' units right and 'b' units up.

Let the rule for translation is,

(x, y) → (x + a, y + b)

Coordinates of point A is (-4, 4) and the coordinates of the image A' are (-2, 5).

So, (-4, 4) → [(-4 + 2), (4 + 1)]

Therefore, the translation can be represented by
`T_(2, 1)(x, y)` (shifted 2 units right and 1 unit up).

Option (4) will be the answer.