Choose the correct rule to describe the transition of ▵ to ▵’’’

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3) ⇒ b

Step-by-step explanation:

Let us revise the rule of translation of a point

Let us solve the question

∵ Point A = (-3, 0)

∵ Point A' = (1, 3)

→ Subtract the x-coordinate of A from the x-coordinate of A' to find h

∵ h = 1 - - 3 = 1 + 3 = 4

→ h is a positive value, then the translation is to the right

∴ Point A translated 4 units to the right

→ Subtract the y-coordinate of A from the y-coordinate of A' to find k

∵ k = 3 - 0 = 3

→ K is a positive value, then the translation is up

∴ Point A translated 3 units up

∴ The rule of translation is (x, y) → (x + 4, y + 3)

Let us find B' and C' using the rule of translation

∵ B = (-3, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-3 + 4, -2 + 3)

∴ B' = (1, 1) ⇒ same as the figure

∵ C = (-1, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-1 + 4, -2 + 3)

∴ B' = (3, 1) ⇒ same as the figure

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3)

step-by-step explanation:

the answer is 128