Question

Determine how to translate triangle A'B'C' back to triangle ABC. *

Answer 1

Answer:

Option 3

Step-by-step explanation:

From the graph attached,

Coordinates of point A → (6, -2)

Coordinates of point A' → (4, 7)

Let the point A' is shifted by 'h' units horizontally and 'k' units vertically,

Rule that defines the translation,

A'(x, y) → A(x + h, y + k)

By this rule,

A'(4, 7) → A(4 + h, y + 7)

Since, coordinates of point A are (6, -2),

Therefore, (4 + h) = 6

h = 2

And y + 7 = -2

y = -9

Therefore, Rule of the translation will be,

$T_{(2, -9)}$

Option 3 will be the answer.