Question

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.
> The rule for the translation can be written as T–5, 3(x, y).
>The rule for the translation can be written as T3, –5(x, y).
>The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
>The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
>Triangle ABC has been translated 3 units to the right and 5 units down.

Answer 1

Answer:

Option (2) and Option (5)

Step-by-step explanation:

Blue triangle ABC has been translated to form the image triangle A'B'C' (in red).

Let take a point A of ΔABC,

Coordinates of point A → (-1, 3)

Coordinates of point A' → (2, -2)

Rule for the translation will be,

A(-1, 3) → A'(2, -2)

A(-1, 3) → A'(-1 + 3, 3 - 5)

A(x, y) → A'(x + 3, y - 5)

$T_{3, -5}(x, y)$

ΔABC has been translated 3 units to the right and 5 units down.

Therefore, Option (2) and Option (5) will be the correct options.

Answer 2

Answer:

B and E

Step-by-step explanation: